55587600 has 120 divisors (see below), whose sum is σ = 197889120. Its totient is φ = 14820480.

The previous prime is 55587593. The next prime is 55587601. The reversal of 55587600 is 678555.

It is a tau number, because it is divible by the number of its divisors (120).

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 (55587601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8227 + ... + 13373.

It is an arithmetic number, because the mean of its divisors is an integer number (1649076).

Almost surely, 2^55587600 is an apocalyptic number.

55587600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55587600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98944560).

55587600 is an abundant number, since it is smaller than the sum of its proper divisors (142301520).

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

55587600 is a wasteful number, since it uses less digits than its factorization.

55587600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5174 (or 5157 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 55587600 is about 7455.7092217977. The cubic root of 55587600 is about 381.6447635475.

The spelling of 55587600 in words is "fifty-five million, five hundred eighty-seven thousand, six hundred".