91968240 has 160 divisors (see below), whose sum is σ = 350977536. Its totient is φ = 19399680.

The previous prime is 91968229. The next prime is 91968259. The reversal of 91968240 is 4286919.

It is a super-3 number, since 3×91968240³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19735 + ... + 23945.

Almost surely, 2^91968240 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 91968240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175488768).

91968240 is an abundant number, since it is smaller than the sum of its proper divisors (259009296).

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

91968240 is a wasteful number, since it uses less digits than its factorization.

91968240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4247 (or 4241 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 91968240 is about 9590.0072992673. The cubic root of 91968240 is about 451.3837897452.

The spelling of 91968240 in words is "ninety-one million, nine hundred sixty-eight thousand, two hundred forty".