56395776 has 96 divisors (see below), whose sum is σ = 153709920. Its totient is φ = 18382848.

The previous prime is 56395771. The next prime is 56395777. The reversal of 56395776 is 67759365.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56395771) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 411580 + ... + 411716.

It is an arithmetic number, because the mean of its divisors is an integer number (1601145).

Almost surely, 2^56395776 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 56395776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76854960).

56395776 is an abundant number, since it is smaller than the sum of its proper divisors (97314144).

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

56395776 is a wasteful number, since it uses less digits than its factorization.

56395776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 209 counting only the distinct ones).

The product of its digits is 1190700, while the sum is 48.

The square root of 56395776 is about 7509.7121116591. The cubic root of 56395776 is about 383.4854218601.

The spelling of 56395776 in words is "fifty-six million, three hundred ninety-five thousand, seven hundred seventy-six".