56949984 has 288 divisors, whose sum is σ = 208039104. Its totient is φ = 14376960.

The previous prime is 56949979. The next prime is 56950097. The reversal of 56949984 is 48994965.

56949984 = T₄₈₁ + T₄₈₂ + ... + T₇₆₇.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 56949984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1074502 + ... + 1074554.

It is an arithmetic number, because the mean of its divisors is an integer number (722358).

Almost surely, 2^56949984 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 56949984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104019552).

56949984 is an abundant number, since it is smaller than the sum of its proper divisors (151089120).

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

56949984 is a wasteful number, since it uses less digits than its factorization.

56949984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 119 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The square root of 56949984 is about 7546.5213177993. The cubic root of 56949984 is about 384.7375149051.

The spelling of 56949984 in words is "fifty-six million, nine hundred forty-nine thousand, nine hundred eighty-four".