964867680 has 192 divisors, whose sum is σ = 3859591680. Its totient is φ = 220534272.

The previous prime is 964867667. The next prime is 964867697. The reversal of 964867680 is 86768469.

964867680 is a `hidden beast` number, since 96 + 486 + 76 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 14287 + ... + 46193.

It is an arithmetic number, because the mean of its divisors is an integer number (20102040).

Almost surely, 2^964867680 is an apocalyptic number.

964867680 is a gapful number since it is divisible by the number (90) 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 964867680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1929795840).

964867680 is an abundant number, since it is smaller than the sum of its proper divisors (2894724000).

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

964867680 is a wasteful number, since it uses less digits than its factorization.

964867680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31938 (or 31924 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 964867680 is about 31062.3192952490. The cubic root of 964867680 is about 988.1493433651.

The spelling of 964867680 in words is "nine hundred sixty-four million, eight hundred sixty-seven thousand, six hundred eighty".