969433920 has 672 divisors, whose sum is σ = 4286999808. Its totient is φ = 203046912.

The previous prime is 969433919. The next prime is 969433943. The reversal of 969433920 is 29334969.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7076092 + ... + 7076228.

It is an arithmetic number, because the mean of its divisors is an integer number (6379464).

Almost surely, 2^969433920 is an apocalyptic number.

969433920 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 969433920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2143499904).

969433920 is an abundant number, since it is smaller than the sum of its proper divisors (3317565888).

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

969433920 is a wasteful number, since it uses less digits than its factorization.

969433920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The square root of 969433920 is about 31135.7338118118. The cubic root of 969433920 is about 989.7056976439.

The spelling of 969433920 in words is "nine hundred sixty-nine million, four hundred thirty-three thousand, nine hundred twenty".