56993280 has 160 divisors (see below), whose sum is σ = 187675488. Its totient is φ = 14745600.

The previous prime is 56993273. The next prime is 56993297. The reversal of 56993280 is 8239965.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 314790 + ... + 314970.

Almost surely, 2^56993280 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 56993280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93837744).

56993280 is an abundant number, since it is smaller than the sum of its proper divisors (130682208).

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

56993280 is a wasteful number, since it uses less digits than its factorization.

56993280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 56993280 is about 7549.3893792809. The cubic root of 56993280 is about 384.8349885990.

The spelling of 56993280 in words is "fifty-six million, nine hundred ninety-three thousand, two hundred eighty".