55766580 has 48 divisors (see below), whose sum is σ = 157597440. Its totient is φ = 14732928.

The previous prime is 55766567. The next prime is 55766593. The reversal of 55766580 is 8566755.

It is an interprime number because it is at equal distance from previous prime (55766567) and next prime (55766593).

It is a super-2 number, since 2×55766580² = 6219822889792800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2277 + ... + 10803.

It is an arithmetic number, because the mean of its divisors is an integer number (3283280).

Almost surely, 2^55766580 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 55766580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78798720).

55766580 is an abundant number, since it is smaller than the sum of its proper divisors (101830860).

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

55766580 is a wasteful number, since it uses less digits than its factorization.

55766580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8648 (or 8646 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 42.

The square root of 55766580 is about 7467.7024579184. The cubic root of 55766580 is about 382.0539291386.

The spelling of 55766580 in words is "fifty-five million, seven hundred sixty-six thousand, five hundred eighty".