63964656 has 240 divisors, whose sum is σ = 222842880. Its totient is φ = 16727040.

The previous prime is 63964643. The next prime is 63964669. The reversal of 63964656 is 65646936.

63964656 is a `hidden beast` number, since 639 + 6 + 4 + 6 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (63964643) and next prime (63964669).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 718660 + ... + 718748.

It is an arithmetic number, because the mean of its divisors is an integer number (928512).

Almost surely, 2^63964656 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 63964656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111421440).

63964656 is an abundant number, since it is smaller than the sum of its proper divisors (158878224).

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

63964656 is a wasteful number, since it uses less digits than its factorization.

63964656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 155 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The square root of 63964656 is about 7997.7906949357. The cubic root of 63964656 is about 399.9263531078.

It can be divided in two parts, 63964 and 656, that added together give a triangular number (64620 = T₃₅₉).

The spelling of 63964656 in words is "sixty-three million, nine hundred sixty-four thousand, six hundred fifty-six".