964728016 has 80 divisors (see below), whose sum is σ = 2199859200. Its totient is φ = 401281920.

The previous prime is 964727999. The next prime is 964728067. The reversal of 964728016 is 610827469.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 688885 + ... + 690283.

It is an arithmetic number, because the mean of its divisors is an integer number (27498240).

Almost surely, 2^964728016 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 964728016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099929600).

964728016 is an abundant number, since it is smaller than the sum of its proper divisors (1235131184).

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

964728016 is a wasteful number, since it uses less digits than its factorization.

964728016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The square root of 964728016 is about 31060.0710881350. The cubic root of 964728016 is about 988.1016630623.

The spelling of 964728016 in words is "nine hundred sixty-four million, seven hundred twenty-eight thousand, sixteen".