56985984 has 128 divisors (see below), whose sum is σ = 183600000. Its totient is φ = 17256960.

The previous prime is 56985983. The next prime is 56985991. The reversal of 56985984 is 48958965.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a self number, because there is not a number n which added to its sum of digits gives 56985984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56985983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37267 + ... + 38765.

It is an arithmetic number, because the mean of its divisors is an integer number (1434375).

Almost surely, 2^56985984 is an apocalyptic number.

56985984 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 56985984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91800000).

56985984 is an abundant number, since it is smaller than the sum of its proper divisors (126614016).

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

56985984 is a wasteful number, since it uses less digits than its factorization.

56985984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533 (or 1515 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 54.

The square root of 56985984 is about 7548.9061459260. The cubic root of 56985984 is about 384.8185663360.

The spelling of 56985984 in words is "fifty-six million, nine hundred eighty-five thousand, nine hundred eighty-four".