961248016 has 45 divisors (see below), whose sum is σ = 1952707701. Its totient is φ = 458363136.

The previous prime is 961247953. The next prime is 961248047. The reversal of 961248016 is 610842169.

It is a happy number.

The square root of 961248016 is 31004.

It is a perfect power (a square), and thus also a powerful number.

961248016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 259210000 + 702038016 = 16100^2 + 26496^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2852200 + ... + 2852536.

Almost surely, 2^961248016 is an apocalyptic number.

961248016 is the 31004-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 961248016

961248016 is an abundant number, since it is smaller than the sum of its proper divisors (991459685).

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

961248016 is an equidigital number, since it uses as much as digits as its factorization.

961248016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The cubic root of 961248016 is about 986.9121268612.

Multiplying 961248016 by its product of nonzero digits (20736), we get a square (19932438859776 = 4464576²).

The spelling of 961248016 in words is "nine hundred sixty-one million, two hundred forty-eight thousand, sixteen".