56983584 has 96 divisors (see below), whose sum is σ = 179988480. Its totient is φ = 15420672.

The previous prime is 56983561. The next prime is 56983631. The reversal of 56983584 is 48538965.

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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10537 + ... + 14999.

It is an arithmetic number, because the mean of its divisors is an integer number (1874880).

Almost surely, 2^56983584 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 56983584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89994240).

56983584 is an abundant number, since it is smaller than the sum of its proper divisors (123004896).

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

56983584 is a wasteful number, since it uses less digits than its factorization.

56983584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4502 (or 4494 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 48.

The square root of 56983584 is about 7548.7471808241. The cubic root of 56983584 is about 384.8131639695.

The spelling of 56983584 in words is "fifty-six million, nine hundred eighty-three thousand, five hundred eighty-four".