55975920 has 320 divisors, whose sum is σ = 233985024. Its totient is φ = 10690560.

The previous prime is 55975877. The next prime is 55975921. The reversal of 55975920 is 2957955.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55975921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 240124 + ... + 240356.

Almost surely, 2^55975920 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 55975920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116992512).

55975920 is an abundant number, since it is smaller than the sum of its proper divisors (178009104).

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

55975920 is a wasteful number, since it uses less digits than its factorization.

55975920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 141750, while the sum is 42.

The square root of 55975920 is about 7481.7056878763. The cubic root of 55975920 is about 382.5313913320.

The spelling of 55975920 in words is "fifty-five million, nine hundred seventy-five thousand, nine hundred twenty".