964230624 has 288 divisors, whose sum is σ = 3286483200. Its totient is φ = 267902208.

The previous prime is 964230593. The next prime is 964230653. The reversal of 964230624 is 426032469.

964230624 is a `hidden beast` number, since 9 + 6 + 4 + 23 + 0 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4247599 + ... + 4247825.

It is an arithmetic number, because the mean of its divisors is an integer number (11411400).

Almost surely, 2^964230624 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 964230624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643241600).

964230624 is an abundant number, since it is smaller than the sum of its proper divisors (2322252576).

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

964230624 is a wasteful number, since it uses less digits than its factorization.

964230624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 964230624 is about 31052.0631198637. The cubic root of 964230624 is about 987.9318195614.

The spelling of 964230624 in words is "nine hundred sixty-four million, two hundred thirty thousand, six hundred twenty-four".