55616256 has 108 divisors (see below), whose sum is σ = 162620640. Its totient is φ = 18278400.

The previous prime is 55616251. The next prime is 55616261. The reversal of 55616256 is 65261655.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (55616251) and next prime (55616261).

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 55616256.

It is not an unprimeable number, because it can be changed into a prime (55616251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 232585 + ... + 232823.

Almost surely, 2^55616256 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 55616256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81310320).

55616256 is an abundant number, since it is smaller than the sum of its proper divisors (107004384).

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

55616256 is a wasteful number, since it uses less digits than its factorization.

55616256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 345 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 55616256 is about 7457.6307229575. The cubic root of 55616256 is about 381.7103329287.

The spelling of 55616256 in words is "fifty-five million, six hundred sixteen thousand, two hundred fifty-six".