964008864 has 480 divisors, whose sum is σ = 3599519616. Its totient is φ = 246343680.

The previous prime is 964008863. The next prime is 964008883. The reversal of 964008864 is 468800469.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (964008863) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14388159 + ... + 14388225.

Almost surely, 2^964008864 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 964008864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799759808).

964008864 is an abundant number, since it is smaller than the sum of its proper divisors (2635510752).

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

964008864 is a wasteful number, since it uses less digits than its factorization.

964008864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 964008864 is about 31048.4921373003. The cubic root of 964008864 is about 987.8560767698.

The spelling of 964008864 in words is "nine hundred sixty-four million, eight thousand, eight hundred sixty-four".