964913664 has 320 divisors, whose sum is σ = 3167797248. Its totient is φ = 256819200.

The previous prime is 964913647. The next prime is 964913681. The reversal of 964913664 is 466319469.

It is an interprime number because it is at equal distance from previous prime (964913647) and next prime (964913681).

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (839808) is a multiple of the sum of its prime divisors (243).

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 31 ways as a sum of consecutive naturals, for example, 5051809 + ... + 5051999.

Almost surely, 2^964913664 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 964913664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583898624).

964913664 is an abundant number, since it is smaller than the sum of its proper divisors (2202883584).

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

964913664 is a wasteful number, since it uses less digits than its factorization.

964913664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 243 counting only the distinct ones).

The product of its digits is 839808, while the sum is 48.

The square root of 964913664 is about 31063.0594758469. The cubic root of 964913664 is about 988.1650409709.

It can be divided in two parts, 964 and 913664, that added together give a triangular number (914628 = T₁₃₅₂).

The spelling of 964913664 in words is "nine hundred sixty-four million, nine hundred thirteen thousand, six hundred sixty-four".