55623936 has 144 divisors (see below), whose sum is σ = 160118784. Its totient is φ = 17098752.

The previous prime is 55623923. The next prime is 55623937. The reversal of 55623936 is 63932655.

It is a super-2 number, since 2×55623936² = 6188044512264192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 55623894 and 55623903.

It is not an unprimeable number, because it can be changed into a prime (55623937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 830175 + ... + 830241.

It is an arithmetic number, because the mean of its divisors is an integer number (1111936).

Almost surely, 2^55623936 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 55623936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80059392).

55623936 is an abundant number, since it is smaller than the sum of its proper divisors (104494848).

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

55623936 is a wasteful number, since it uses less digits than its factorization.

55623936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 142 counting only the distinct ones).

The product of its digits is 145800, while the sum is 39.

The square root of 55623936 is about 7458.1456140250. The cubic root of 55623936 is about 381.7279021350.

The spelling of 55623936 in words is "fifty-five million, six hundred twenty-three thousand, nine hundred thirty-six".