91965888 has 112 divisors (see below), whose sum is σ = 309026560. Its totient is φ = 26272512.

The previous prime is 91965883. The next prime is 91965893. The reversal of 91965888 is 88856919.

It is an interprime number because it is at equal distance from previous prime (91965883) and next prime (91965893).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×91965888³ (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 not an unprimeable number, because it can be changed into a prime (91965883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8295 + ... + 15897.

Almost surely, 2^91965888 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 91965888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154513280).

91965888 is an abundant number, since it is smaller than the sum of its proper divisors (217060672).

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

91965888 is a wasteful number, since it uses less digits than its factorization.

91965888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7631 (or 7615 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 54.

The square root of 91965888 is about 9589.8846708394. The cubic root of 91965888 is about 451.3799418092.

The spelling of 91965888 in words is "ninety-one million, nine hundred sixty-five thousand, eight hundred eighty-eight".