55577060 has 96 divisors (see below), whose sum is σ = 147087360. Its totient is φ = 17136000.

The previous prime is 55577057. The next prime is 55577087. The reversal of 55577060 is 6077555.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 55577060.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232421 + ... + 232659.

It is an arithmetic number, because the mean of its divisors is an integer number (1532160).

Almost surely, 2^55577060 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 55577060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73543680).

55577060 is an abundant number, since it is smaller than the sum of its proper divisors (91510300).

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

55577060 is a wasteful number, since it uses less digits than its factorization.

55577060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 36750, while the sum is 35.

The square root of 55577060 is about 7455.0023474175. The cubic root of 55577060 is about 381.6206407211.

Subtracting from 55577060 its sum of digits (35), we obtain a square (55577025 = 7455²).

The spelling of 55577060 in words is "fifty-five million, five hundred seventy-seven thousand, sixty".