55942920 has 256 divisors, whose sum is σ = 216172800. Its totient is φ = 12718080.

The previous prime is 55942919. The next prime is 55942921. The reversal of 55942920 is 2924955.

It is a happy number.

55942920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (55942919) and next prime (55942921).

It is a super-2 number, since 2×55942920² = 6259220596252800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55942921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 201822 + ... + 202098.

It is an arithmetic number, because the mean of its divisors is an integer number (844425).

Almost surely, 2^55942920 is an apocalyptic number.

It is a pronic number, being equal to 7479×7480.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55942920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108086400).

55942920 is an abundant number, since it is smaller than the sum of its proper divisors (160229880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55942920 is a wasteful number, since it uses less digits than its factorization.

55942920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 55942920 is about 7479.4999832877. The cubic root of 55942920 is about 382.4562041359.

The spelling of 55942920 in words is "fifty-five million, nine hundred forty-two thousand, nine hundred twenty".