56301966 has 80 divisors (see below), whose sum is σ = 145664640. Its totient is φ = 15921360.

The previous prime is 56301937. The next prime is 56302013. The reversal of 56301966 is 66910365.

56301966 is a `hidden beast` number, since 5 + 630 + 19 + 6 + 6 = 666.

56301966 is a nontrivial binomial coefficient, being equal to C(10612, 2).

It is a super-2 number, since 2×56301966² = 6339822750930312, which contains 22 as substring.

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 self number, because there is not a number n which added to its sum of digits gives 56301966.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 148365 + ... + 148743.

It is an arithmetic number, because the mean of its divisors is an integer number (1820808).

Almost surely, 2^56301966 is an apocalyptic number.

56301966 is the 10611-st triangular number and also the 5306-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56301966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72832320).

56301966 is an abundant number, since it is smaller than the sum of its proper divisors (89362674).

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

56301966 is a wasteful number, since it uses less digits than its factorization.

56301966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 56301966 is about 7503.4636002316. The cubic root of 56301966 is about 383.2726710981.

The spelling of 56301966 in words is "fifty-six million, three hundred one thousand, nine hundred sixty-six".