56769984 has 140 divisors (see below), whose sum is σ = 172602144. Its totient is φ = 18441216.

The previous prime is 56769949. The next prime is 56769991. The reversal of 56769984 is 48996765.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 56769984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 243532 + ... + 243764.

Almost surely, 2^56769984 is an apocalyptic number.

56769984 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56769984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86301072).

56769984 is an abundant number, since it is smaller than the sum of its proper divisors (115832160).

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

56769984 is a wasteful number, since it uses less digits than its factorization.

56769984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 285 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 56769984 is about 7534.5858545775. The cubic root of 56769984 is about 384.3317445673.

The spelling of 56769984 in words is "fifty-six million, seven hundred sixty-nine thousand, nine hundred eighty-four".