969897600 has 576 divisors, whose sum is σ = 4202677440. Its totient is φ = 207912960.

The previous prime is 969897571. The next prime is 969897601. The reversal of 969897600 is 6798969.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (969897601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3427059 + ... + 3427341.

It is an arithmetic number, because the mean of its divisors is an integer number (7296315).

Almost surely, 2^969897600 is an apocalyptic number.

969897600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 969897600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2101338720).

969897600 is an abundant number, since it is smaller than the sum of its proper divisors (3232779840).

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

969897600 is a wasteful number, since it uses less digits than its factorization.

969897600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The square root of 969897600 is about 31143.1790284807. The cubic root of 969897600 is about 989.8634644886.

The spelling of 969897600 in words is "nine hundred sixty-nine million, eight hundred ninety-seven thousand, six hundred".