55897600 has 120 divisors (see below), whose sum is σ = 151461288. Its totient is φ = 20275200.

The previous prime is 55897579. The next prime is 55897609. The reversal of 55897600 is 679855.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55897609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 140602 + ... + 140998.

Almost surely, 2^55897600 is an apocalyptic number.

55897600 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 55897600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75730644).

55897600 is an abundant number, since it is smaller than the sum of its proper divisors (95563688).

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

55897600 is a wasteful number, since it uses less digits than its factorization.

55897600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 40.

The square root of 55897600 is about 7476.4697551719. The cubic root of 55897600 is about 382.3528988514.

The spelling of 55897600 in words is "fifty-five million, eight hundred ninety-seven thousand, six hundred".