964387872 has 144 divisors (see below), whose sum is σ = 3144960000. Its totient is φ = 274599936.

The previous prime is 964387847. The next prime is 964387901. The reversal of 964387872 is 278783469.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 771504 + ... + 772752.

It is an arithmetic number, because the mean of its divisors is an integer number (21840000).

Almost surely, 2^964387872 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 964387872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572480000).

964387872 is an abundant number, since it is smaller than the sum of its proper divisors (2180572128).

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

964387872 is a wasteful number, since it uses less digits than its factorization.

964387872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1655 (or 1644 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 964387872 is about 31054.5950223151. The cubic root of 964387872 is about 987.9855210497.

The spelling of 964387872 in words is "nine hundred sixty-four million, three hundred eighty-seven thousand, eight hundred seventy-two".