56493216 has 144 divisors (see below), whose sum is σ = 176117760. Its totient is φ = 17072640.

The previous prime is 56493187. The next prime is 56493233. The reversal of 56493216 is 61239465.

It is a happy number.

56493216 is a `hidden beast` number, since 5 + 649 + 3 + 2 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

Its product of digits (38880) is a multiple of the sum of its prime divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 295681 + ... + 295871.

It is an arithmetic number, because the mean of its divisors is an integer number (1223040).

Almost surely, 2^56493216 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 56493216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88058880).

56493216 is an abundant number, since it is smaller than the sum of its proper divisors (119624544).

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

56493216 is a wasteful number, since it uses less digits than its factorization.

56493216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 288 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 56493216 is about 7516.1969106723. The cubic root of 56493216 is about 383.7061554098.

The spelling of 56493216 in words is "fifty-six million, four hundred ninety-three thousand, two hundred sixteen".