56367648 has 144 divisors (see below), whose sum is σ = 176019480. Its totient is φ = 17031168.

The previous prime is 56367629. The next prime is 56367653. The reversal of 56367648 is 84676365.

56367648 is a `hidden beast` number, since 5 + 636 + 7 + 6 + 4 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 55175184 + 1192464 = 7428^2 + 1092^2 .

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

Its product of digits (725760) is a multiple of the sum of its prime divisors (448).

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, 141786 + ... + 142182.

Almost surely, 2^56367648 is an apocalyptic number.

56367648 is a gapful number since it is divisible by the number (58) 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 56367648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88009740).

56367648 is an abundant number, since it is smaller than the sum of its proper divisors (119651832).

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

56367648 is a wasteful number, since it uses less digits than its factorization.

56367648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 448 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 56367648 is about 7507.8391032307. The cubic root of 56367648 is about 383.4216554309.

The spelling of 56367648 in words is "fifty-six million, three hundred sixty-seven thousand, six hundred forty-eight".