967669920 has 288 divisors, whose sum is σ = 3996615168. Its totient is φ = 208134144.

The previous prime is 967669909. The next prime is 967669933. The reversal of 967669920 is 29966769.

It is a happy number.

967669920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 168537 + ... + 174183.

It is an arithmetic number, because the mean of its divisors is an integer number (13877136).

Almost surely, 2^967669920 is an apocalyptic number.

967669920 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 967669920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1998307584).

967669920 is an abundant number, since it is smaller than the sum of its proper divisors (3028945248).

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

967669920 is a wasteful number, since it uses less digits than its factorization.

967669920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5692 (or 5681 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The square root of 967669920 is about 31107.3933334183. The cubic root of 967669920 is about 989.1050375377.

The spelling of 967669920 in words is "nine hundred sixty-seven million, six hundred sixty-nine thousand, nine hundred twenty".