91970816 has 72 divisors (see below), whose sum is σ = 222223680. Its totient is φ = 37085184.

The previous prime is 91970797. The next prime is 91970839. The reversal of 91970816 is 61807919.

It is a happy number.

It is a super-3 number, since 3×91970816³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 28955 + ... + 31973.

It is an arithmetic number, because the mean of its divisors is an integer number (3086440).

Almost surely, 2^91970816 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 91970816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111111840).

91970816 is an abundant number, since it is smaller than the sum of its proper divisors (130252864).

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

91970816 is a wasteful number, since it uses less digits than its factorization.

91970816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3059 (or 3045 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 41.

The square root of 91970816 is about 9590.1416047940. The cubic root of 91970816 is about 451.3880040761.

The spelling of 91970816 in words is "ninety-one million, nine hundred seventy thousand, eight hundred sixteen".