55611360 has 240 divisors, whose sum is σ = 224665056. Its totient is φ = 12690432.

The previous prime is 55611359. The next prime is 55611373. The reversal of 55611360 is 6311655.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×55611360² = 6185246722099200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 90414 + ... + 91026.

Almost surely, 2^55611360 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 55611360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112332528).

55611360 is an abundant number, since it is smaller than the sum of its proper divisors (169053696).

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

55611360 is a wasteful number, since it uses less digits than its factorization.

55611360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 55611360 is about 7457.3024613462. The cubic root of 55611360 is about 381.6991317155.

The spelling of 55611360 in words is "fifty-five million, six hundred eleven thousand, three hundred sixty".