55947312 has 120 divisors (see below), whose sum is σ = 164656128. Its totient is φ = 17712000.

The previous prime is 55947299. The next prime is 55947313. The reversal of 55947312 is 21374955.

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

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

Its product of digits (37800) is a multiple of the sum of its prime divisors (270).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55947313) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 370437 + ... + 370587.

Almost surely, 2^55947312 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 55947312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82328064).

55947312 is an abundant number, since it is smaller than the sum of its proper divisors (108708816).

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

55947312 is a wasteful number, since it uses less digits than its factorization.

55947312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 270 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 55947312 is about 7479.7935800395. The cubic root of 55947312 is about 382.4662125737.

The spelling of 55947312 in words is "fifty-five million, nine hundred forty-seven thousand, three hundred twelve".