964643760 has 120 divisors (see below), whose sum is σ = 3246019920. Its totient is φ = 256728576.

The previous prime is 964643753. The next prime is 964643773. The reversal of 964643760 is 67346469.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 486451 + ... + 488429.

It is an arithmetic number, because the mean of its divisors is an integer number (27050166).

Almost surely, 2^964643760 is an apocalyptic number.

964643760 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 964643760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1623009960).

964643760 is an abundant number, since it is smaller than the sum of its proper divisors (2281376160).

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

964643760 is a wasteful number, since it uses less digits than its factorization.

964643760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2675 (or 2666 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 964643760 is about 31058.7147190607. The cubic root of 964643760 is about 988.0728964337.

The spelling of 964643760 in words is "nine hundred sixty-four million, six hundred forty-three thousand, seven hundred sixty".