55938816 has 72 divisors (see below), whose sum is σ = 165441360. Its totient is φ = 18643968.

The previous prime is 55938811. The next prime is 55938847. The reversal of 55938816 is 61883955.

55938816 is a `hidden beast` number, since 559 + 3 + 88 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×55938816² = 6258302270963712, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55938811) 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 7 ways as a sum of consecutive naturals, for example, 2866 + ... + 10958.

Almost surely, 2^55938816 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 55938816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82720680).

55938816 is an abundant number, since it is smaller than the sum of its proper divisors (109502544).

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

55938816 is an equidigital number, since it uses as much as digits as its factorization.

55938816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8118 (or 8098 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 55938816 is about 7479.2256283655. The cubic root of 55938816 is about 382.4468515158.

The spelling of 55938816 in words is "fifty-five million, nine hundred thirty-eight thousand, eight hundred sixteen".