56939760 has 240 divisors, whose sum is σ = 207174240. Its totient is φ = 14515200.

The previous prime is 56939759. The next prime is 56939761. The reversal of 56939760 is 6793965.

56939760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56939759) and next prime (56939761).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56939761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 563710 + ... + 563810.

It is an arithmetic number, because the mean of its divisors is an integer number (863226).

Almost surely, 2^56939760 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 56939760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103587120).

56939760 is an abundant number, since it is smaller than the sum of its proper divisors (150234480).

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

56939760 is a wasteful number, since it uses less digits than its factorization.

56939760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 56939760 is about 7545.8438891883. The cubic root of 56939760 is about 384.7144900711.

The spelling of 56939760 in words is "fifty-six million, nine hundred thirty-nine thousand, seven hundred sixty".