967320900 has 576 divisors, whose sum is σ = 3981967360. Its totient is φ = 195955200.

The previous prime is 967320889. The next prime is 967320901. The reversal of 967320900 is 9023769.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (967320901) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7616637 + ... + 7616763.

Almost surely, 2^967320900 is an apocalyptic number.

967320900 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 967320900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1990983680).

967320900 is an abundant number, since it is smaller than the sum of its proper divisors (3014646460).

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

967320900 is a wasteful number, since it uses less digits than its factorization.

967320900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 967320900 is about 31101.7829070939. The cubic root of 967320900 is about 988.9861061591.

The spelling of 967320900 in words is "nine hundred sixty-seven million, three hundred twenty thousand, nine hundred".