55806660 has 144 divisors (see below), whose sum is σ = 208406016. Its totient is φ = 11771136.

The previous prime is 55806593. The next prime is 55806661. The reversal of 55806660 is 6660855.

It is a super-2 number, since 2×55806660² = 6228766600711200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (55806661) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14677 + ... + 18083.

It is an arithmetic number, because the mean of its divisors is an integer number (1447264).

Almost surely, 2^55806660 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 55806660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104203008).

55806660 is an abundant number, since it is smaller than the sum of its proper divisors (152599356).

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

55806660 is a wasteful number, since it uses less digits than its factorization.

55806660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3442 (or 3437 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 55806660 is about 7470.3855322199. The cubic root of 55806660 is about 382.1454358826.

The spelling of 55806660 in words is "fifty-five million, eight hundred six thousand, six hundred sixty".