55951940 has 48 divisors (see below), whose sum is σ = 128931264. Its totient is φ = 20227200.

The previous prime is 55951937. The next prime is 55951963. The reversal of 55951940 is 4915955.

It is a junction number, because it is equal to n+sod(n) for n = 55951894 and 55951903.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42695 + ... + 43985.

It is an arithmetic number, because the mean of its divisors is an integer number (2686068).

Almost surely, 2^55951940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55951940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64465632).

55951940 is an abundant number, since it is smaller than the sum of its proper divisors (72979324).

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

55951940 is a wasteful number, since it uses less digits than its factorization.

55951940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 38.

The square root of 55951940 is about 7480.1029404681. The cubic root of 55951940 is about 382.4767582386.

The spelling of 55951940 in words is "fifty-five million, nine hundred fifty-one thousand, nine hundred forty".