969064800 has 432 divisors, whose sum is σ = 3590770176. Its totient is φ = 226688000.

The previous prime is 969064781. The next prime is 969064861. The reversal of 969064800 is 8460969.

It is a super-3 number, since 3×969064800³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13648765 + ... + 13648835.

It is an arithmetic number, because the mean of its divisors is an integer number (8311968).

Almost surely, 2^969064800 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 969064800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1795385088).

969064800 is an abundant number, since it is smaller than the sum of its proper divisors (2621705376).

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

969064800 is a wasteful number, since it uses less digits than its factorization.

969064800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 969064800 is about 31129.8056531036. The cubic root of 969064800 is about 989.5800688153.

The spelling of 969064800 in words is "nine hundred sixty-nine million, sixty-four thousand, eight hundred".