91969864 has 96 divisors (see below), whose sum is σ = 218722680. Its totient is φ = 35997696.

The previous prime is 91969831. The next prime is 91969877. The reversal of 91969864 is 46896919.

It can be written as a sum of positive squares in 4 ways, for example, as 91968100 + 1764 = 9590^2 + 42^2 .

It is a super-3 number, since 3×91969864³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246382 + ... + 246754.

Almost surely, 2^91969864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91969864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109361340).

91969864 is an abundant number, since it is smaller than the sum of its proper divisors (126752816).

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

91969864 is a wasteful number, since it uses less digits than its factorization.

91969864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 436 counting only the distinct ones).

The product of its digits is 839808, while the sum is 52.

The square root of 91969864 is about 9590.0919703619. The cubic root of 91969864 is about 451.3864466152.

The spelling of 91969864 in words is "ninety-one million, nine hundred sixty-nine thousand, eight hundred sixty-four".