56276640 has 192 divisors, whose sum is σ = 225227520. Its totient is φ = 12856320.

The previous prime is 56276639. The next prime is 56276663. The reversal of 56276640 is 4667265.

56276640 is a `hidden beast` number, since 5 + 6 + 2 + 7 + 6 + 640 = 666.

56276640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 56276595 and 56276604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29310 + ... + 31170.

It is an arithmetic number, because the mean of its divisors is an integer number (1173060).

Almost surely, 2^56276640 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 56276640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112613760).

56276640 is an abundant number, since it is smaller than the sum of its proper divisors (168950880).

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

56276640 is a wasteful number, since it uses less digits than its factorization.

56276640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 56276640 is about 7501.7757897714. The cubic root of 56276640 is about 383.2151940082.

The spelling of 56276640 in words is "fifty-six million, two hundred seventy-six thousand, six hundred forty".