55866880 has 80 divisors (see below), whose sum is σ = 135772560. Its totient is φ = 22044672.

The previous prime is 55866869. The next prime is 55866883. The reversal of 55866880 is 8866855.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×55866880² = 6242216561868800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 55866880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55866883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 355762 + ... + 355918.

It is an arithmetic number, because the mean of its divisors is an integer number (1697157).

Almost surely, 2^55866880 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 55866880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67886280).

55866880 is an abundant number, since it is smaller than the sum of its proper divisors (79905680).

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

55866880 is a wasteful number, since it uses less digits than its factorization.

55866880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 46.

The square root of 55866880 is about 7474.4150272781. The cubic root of 55866880 is about 382.2828419768.

The spelling of 55866880 in words is "fifty-five million, eight hundred sixty-six thousand, eight hundred eighty".