964393164 has 144 divisors (see below), whose sum is σ = 2899536640. Its totient is φ = 264539520.

The previous prime is 964393163. The next prime is 964393201. The reversal of 964393164 is 461393469.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (964393163) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 660267 + ... + 661725.

Almost surely, 2^964393164 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 964393164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449768320).

964393164 is an abundant number, since it is smaller than the sum of its proper divisors (1935143476).

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

964393164 is a wasteful number, since it uses less digits than its factorization.

964393164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580 (or 1575 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 964393164 is about 31054.6802269803. The cubic root of 964393164 is about 987.9873282098.

The spelling of 964393164 in words is "nine hundred sixty-four million, three hundred ninety-three thousand, one hundred sixty-four".