55431936 has 162 divisors, whose sum is σ = 186296292. Its totient is φ = 15805440.

The previous prime is 55431923. The next prime is 55431947. The reversal of 55431936 is 63913455.

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

It is a self number, because there is not a number n which added to its sum of digits gives 55431936.

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 17 ways as a sum of consecutive naturals, for example, 112651 + ... + 113141.

Almost surely, 2^55431936 is an apocalyptic number.

55431936 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55431936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93148146).

55431936 is an abundant number, since it is smaller than the sum of its proper divisors (130864356).

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

55431936 is a wasteful number, since it uses less digits than its factorization.

55431936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 503 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The square root of 55431936 is about 7445.2626548699. The cubic root of 55431936 is about 381.2881858733.

The spelling of 55431936 in words is "fifty-five million, four hundred thirty-one thousand, nine hundred thirty-six".