56606634 has 128 divisors (see below), whose sum is σ = 159252480. Its totient is φ = 14522112.

The previous prime is 56606629. The next prime is 56606639. The reversal of 56606634 is 43660665.

56606634 is a `hidden beast` number, since 566 + 0 + 66 + 34 = 666.

It is an interprime number because it is at equal distance from previous prime (56606629) and next prime (56606639).

It is a super-2 number, since 2×56606634² = 6408622025619912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (56606639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 147607 + ... + 147989.

It is an arithmetic number, because the mean of its divisors is an integer number (1244160).

Almost surely, 2^56606634 is an apocalyptic number.

56606634 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 56606634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79626240).

56606634 is an abundant number, since it is smaller than the sum of its proper divisors (102645846).

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

56606634 is a wasteful number, since it uses less digits than its factorization.

56606634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 56606634 is about 7523.7380337170. The cubic root of 56606634 is about 383.9627649443.

The spelling of 56606634 in words is "fifty-six million, six hundred six thousand, six hundred thirty-four".