967890816 has 64 divisors (see below), whose sum is σ = 2856632400. Its totient is φ = 322629120.

The previous prime is 967890797. The next prime is 967890817. The reversal of 967890816 is 618098769.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (967890817) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136575 + ... + 143486.

Almost surely, 2^967890816 is an apocalyptic number.

967890816 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

967890816 is an abundant number, since it is smaller than the sum of its proper divisors (1888741584).

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

967890816 is a wasteful number, since it uses less digits than its factorization.

967890816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280084 (or 280066 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 967890816 is about 31110.9436693907. The cubic root of 967890816 is about 989.1802948538.

The spelling of 967890816 in words is "nine hundred sixty-seven million, eight hundred ninety thousand, eight hundred sixteen".