55934880 has 48 divisors (see below), whose sum is σ = 176196384. Its totient is φ = 14915840.

The previous prime is 55934839. The next prime is 55934897. The reversal of 55934880 is 8843955.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×55934880² = 6257421601228800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57786 + ... + 58745.

It is an arithmetic number, because the mean of its divisors is an integer number (3670758).

Almost surely, 2^55934880 is an apocalyptic number.

It is an amenable number.

55934880 is an abundant number, since it is smaller than the sum of its proper divisors (120261504).

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

55934880 is a wasteful number, since it uses less digits than its factorization.

55934880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116549 (or 116541 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 55934880 is about 7478.9624948919. The cubic root of 55934880 is about 382.4378813216.

Subtracting from 55934880 its product of nonzero digits (172800), we obtain a triangular number (55762080 = T₁₀₅₆₀).

The spelling of 55934880 in words is "fifty-five million, nine hundred thirty-four thousand, eight hundred eighty".