56984040 has 128 divisors (see below), whose sum is σ = 200016000. Its totient is φ = 14390784.

The previous prime is 56984009. The next prime is 56984117. The reversal of 56984040 is 4048965.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 56983986 and 56984004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19132 + ... + 21908.

It is an arithmetic number, because the mean of its divisors is an integer number (1562625).

Almost surely, 2^56984040 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 56984040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100008000).

56984040 is an abundant number, since it is smaller than the sum of its proper divisors (143031960).

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

56984040 is a wasteful number, since it uses less digits than its factorization.

56984040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2816 (or 2806 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 56984040 is about 7548.7773844511. Note that the first 3 decimals coincide. The cubic root of 56984040 is about 384.8141904308.

The spelling of 56984040 in words is "fifty-six million, nine hundred eighty-four thousand, forty".