56641664 has 64 divisors (see below), whose sum is σ = 118752480. Its totient is φ = 26880000.

The previous prime is 56641661. The next prime is 56641667. The reversal of 56641664 is 46614665.

It is an interprime number because it is at equal distance from previous prime (56641661) and next prime (56641667).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×56641664³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (56641661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 225539 + ... + 225789.

Almost surely, 2^56641664 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 56641664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59376240).

56641664 is an abundant number, since it is smaller than the sum of its proper divisors (62110816).

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

56641664 is a wasteful number, since it uses less digits than its factorization.

56641664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 337 counting only the distinct ones).

The product of its digits is 103680, while the sum is 38.

The square root of 56641664 is about 7526.0656388315. The cubic root of 56641664 is about 384.0419514352.

The spelling of 56641664 in words is "fifty-six million, six hundred forty-one thousand, six hundred sixty-four".