91968966 has 32 divisors (see below), whose sum is σ = 205747200. Its totient is φ = 30450600.

The previous prime is 91968953. The next prime is 91969021. The reversal of 91968966 is 66986919.

It is a super-3 number, since 3×91968966³ (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2515 + ... + 13793.

It is an arithmetic number, because the mean of its divisors is an integer number (6429600).

Almost surely, 2^91968966 is an apocalyptic number.

91968966 is an abundant number, since it is smaller than the sum of its proper divisors (113778234).

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

91968966 is a wasteful number, since it uses less digits than its factorization.

91968966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11441 (or 11435 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 54.

The square root of 91968966 is about 9590.0451510929. The cubic root of 91968966 is about 451.3849774878.

The spelling of 91968966 in words is "ninety-one million, nine hundred sixty-eight thousand, nine hundred sixty-six".