969616000 has 64 divisors (see below), whose sum is σ = 2410747560. Its totient is φ = 387840000.

The previous prime is 969615967. The next prime is 969616009. The reversal of 969616000 is 616969.

It can be written as a sum of positive squares in 4 ways, for example, as 564157504 + 405458496 = 23752^2 + 20136^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (969616009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14301 + ... + 46300.

Almost surely, 2^969616000 is an apocalyptic number.

It is an amenable number.

969616000 is an abundant number, since it is smaller than the sum of its proper divisors (1441131560).

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

969616000 is an equidigital number, since it uses as much as digits as its factorization.

969616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60630 (or 60608 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 37.

The square root of 969616000 is about 31138.6576460836. The cubic root of 969616000 is about 989.7676562532.

The spelling of 969616000 in words is "nine hundred sixty-nine million, six hundred sixteen thousand".