969521280 has 512 divisors, whose sum is σ = 3948134400. Its totient is φ = 196853760.

The previous prime is 969521239. The next prime is 969521281. The reversal of 969521280 is 82125969.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (969521281) 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 63 ways as a sum of consecutive naturals, for example, 5416231 + ... + 5416409.

It is an arithmetic number, because the mean of its divisors is an integer number (7711200).

Almost surely, 2^969521280 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 969521280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1974067200).

969521280 is an abundant number, since it is smaller than the sum of its proper divisors (2978613120).

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

969521280 is a wasteful number, since it uses less digits than its factorization.

969521280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 969521280 is about 31137.1366698995. The cubic root of 969521280 is about 989.7354256776.

The spelling of 969521280 in words is "nine hundred sixty-nine million, five hundred twenty-one thousand, two hundred eighty".