55600800 has 72 divisors (see below), whose sum is σ = 180988416. Its totient is φ = 14826240.

The previous prime is 55600793. The next prime is 55600807. The reversal of 55600800 is 800655.

It is an interprime number because it is at equal distance from previous prime (55600793) and next prime (55600807).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (55600807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9184 + ... + 13983.

It is an arithmetic number, because the mean of its divisors is an integer number (2513728).

Almost surely, 2^55600800 is an apocalyptic number.

55600800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55600800 is an abundant number, since it is smaller than the sum of its proper divisors (125387616).

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

55600800 is a wasteful number, since it uses less digits than its factorization.

55600800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23190 (or 23177 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 55600800 is about 7456.5943969080. The cubic root of 55600800 is about 381.6749699975.

The spelling of 55600800 in words is "fifty-five million, six hundred thousand, eight hundred".