56764890 has 192 divisors, whose sum is σ = 188697600. Its totient is φ = 11515392.

The previous prime is 56764889. The next prime is 56764901. The reversal of 56764890 is 9846765.

56764890 is a `hidden beast` number, since 567 + 6 + 4 + 89 + 0 = 666.

56764890 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 (45).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 237391 + ... + 237629.

It is an arithmetic number, because the mean of its divisors is an integer number (982800).

Almost surely, 2^56764890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56764890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94348800).

56764890 is an abundant number, since it is smaller than the sum of its proper divisors (131932710).

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

56764890 is a wasteful number, since it uses less digits than its factorization.

56764890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 56764890 is about 7534.2478058530. The cubic root of 56764890 is about 384.3202487948.

The spelling of 56764890 in words is "fifty-six million, seven hundred sixty-four thousand, eight hundred ninety".