960752016 has 315 divisors, whose sum is σ = 3327683313. Its totient is φ = 267805440.

The previous prime is 960751993. The next prime is 960752017. The reversal of 960752016 is 610257069.

The square root of 960752016 is 30996.

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

It can be written as a sum of positive squares in only one way, i.e., 46294416 + 914457600 = 6804^2 + 30240^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (960752017) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 23432956 + ... + 23432996.

Almost surely, 2^960752016 is an apocalyptic number.

960752016 is the 30996-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 960752016

960752016 is an abundant number, since it is smaller than the sum of its proper divisors (2366931297).

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

960752016 is an equidigital number, since it uses as much as digits as its factorization.

960752016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The cubic root of 960752016 is about 986.7423501315.

Multiplying 960752016 by its sum of digits (36), we get a square (34587072576 = 185976²).

960752016 divided by its sum of digits (36) gives a square (26687556 = 5166²).

It can be divided in two parts, 9607520 and 16, that added together give a triangular number (9607536 = T₄₃₈₃).

The spelling of 960752016 in words is "nine hundred sixty million, seven hundred fifty-two thousand, sixteen".