55906816 has 80 divisors (see below), whose sum is σ = 134544960. Its totient is φ = 22671360.

The previous prime is 55906793. The next prime is 55906817. The reversal of 55906816 is 61860955.

It is not an unprimeable number, because it can be changed into a prime (55906817) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67686 + ... + 68506.

It is an arithmetic number, because the mean of its divisors is an integer number (1681812).

Almost surely, 2^55906816 is an apocalyptic number.

55906816 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 55906816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67272480).

55906816 is an abundant number, since it is smaller than the sum of its proper divisors (78638144).

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

55906816 is an equidigital number, since it uses as much as digits as its factorization.

55906816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 40.

The square root of 55906816 is about 7477.0860634341. The cubic root of 55906816 is about 382.3739109084.

The spelling of 55906816 in words is "fifty-five million, nine hundred six thousand, eight hundred sixteen".