964208000 has 128 divisors (see below), whose sum is σ = 2740046400. Its totient is φ = 330547200.

The previous prime is 964207999. The next prime is 964208009. The reversal of 964208000 is 802469.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (964208009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107696 + ... + 116304.

Almost surely, 2^964208000 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 964208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370023200).

964208000 is an abundant number, since it is smaller than the sum of its proper divisors (1775838400).

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

964208000 is an equidigital number, since it uses as much as digits as its factorization.

964208000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8645 (or 8623 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 964208000 is about 31051.6988263122. The cubic root of 964208000 is about 987.9240927985.

The spelling of 964208000 in words is "nine hundred sixty-four million, two hundred eight thousand".