55617660 has 144 divisors (see below), whose sum is σ = 198184896. Its totient is φ = 12358656.

The previous prime is 55617649. The next prime is 55617671. The reversal of 55617660 is 6671655.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (55617649) and next prime (55617671).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46024 + ... + 47216.

It is an arithmetic number, because the mean of its divisors is an integer number (1376284).

Almost surely, 2^55617660 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 55617660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99092448).

55617660 is an abundant number, since it is smaller than the sum of its proper divisors (142567236).

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

55617660 is a wasteful number, since it uses less digits than its factorization.

55617660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 55617660 is about 7457.7248541361. The cubic root of 55617660 is about 381.7135449201.

The spelling of 55617660 in words is "fifty-five million, six hundred seventeen thousand, six hundred sixty".