55993872 has 80 divisors (see below), whose sum is σ = 158971968. Its totient is φ = 16842240.

The previous prime is 55993853. The next prime is 55993877. The reversal of 55993872 is 27839955.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55993877) 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 15 ways as a sum of consecutive naturals, for example, 91038 + ... + 91650.

Almost surely, 2^55993872 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 55993872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79485984).

55993872 is an abundant number, since it is smaller than the sum of its proper divisors (102978096).

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

55993872 is a wasteful number, since it uses less digits than its factorization.

55993872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 802 counting only the distinct ones).

The product of its digits is 680400, while the sum is 48.

The square root of 55993872 is about 7482.9053181234. The cubic root of 55993872 is about 382.5722807570.

It can be divided in two parts, 55993 and 872, that added together give a palindrome (56865).

The spelling of 55993872 in words is "fifty-five million, nine hundred ninety-three thousand, eight hundred seventy-two".