55616160 has 96 divisors (see below), whose sum is σ = 176964480. Its totient is φ = 14681088.

The previous prime is 55616159. The next prime is 55616161. The reversal of 55616160 is 6161655.

It is an interprime number because it is at equal distance from previous prime (55616159) and next prime (55616161).

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (55616161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51789 + ... + 52851.

It is an arithmetic number, because the mean of its divisors is an integer number (1843380).

Almost surely, 2^55616160 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 55616160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88482240).

55616160 is an abundant number, since it is smaller than the sum of its proper divisors (121348320).

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

55616160 is a wasteful number, since it uses less digits than its factorization.

55616160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 55616160 is about 7457.6242865942. The cubic root of 55616160 is about 381.7101133034.

It can be divided in two parts, 5 and 5616160, that added together give a palindrome (5616165).

The spelling of 55616160 in words is "fifty-five million, six hundred sixteen thousand, one hundred sixty".