64615680 has 216 divisors, whose sum is σ = 229582080. Its totient is φ = 16773120.

The previous prime is 64615667. The next prime is 64615693. The reversal of 64615680 is 8651646.

64615680 is a `hidden beast` number, since 646 + 1 + 5 + 6 + 8 + 0 = 666.

64615680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (64615667) and next prime (64615693).

It is a super-2 number, since 2×64615680² = 8350372203724800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 817881 + ... + 817959.

It is an arithmetic number, because the mean of its divisors is an integer number (1062880).

Almost surely, 2^64615680 is an apocalyptic number.

64615680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64615680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114791040).

64615680 is an abundant number, since it is smaller than the sum of its proper divisors (164966400).

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

64615680 is a wasteful number, since it uses less digits than its factorization.

64615680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 64615680 is about 8038.3878980801. The cubic root of 64615680 is about 401.2785754244.

The spelling of 64615680 in words is "sixty-four million, six hundred fifteen thousand, six hundred eighty".