964012800 has 432 divisors, whose sum is σ = 3467278080. Its totient is φ = 235192320.

The previous prime is 964012789. The next prime is 964012801. The reversal of 964012800 is 8210469.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (964012801) 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, 16339171 + ... + 16339229.

Almost surely, 2^964012800 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 964012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1733639040).

964012800 is an abundant number, since it is smaller than the sum of its proper divisors (2503265280).

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

964012800 is a wasteful number, since it uses less digits than its factorization.

964012800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 964012800 is about 31048.5555219563. Note that the first 4 decimals coincide. The cubic root of 964012800 is about 987.8574212236.

The spelling of 964012800 in words is "nine hundred sixty-four million, twelve thousand, eight hundred".