91965240 has 128 divisors (see below), whose sum is σ = 324648000. Its totient is φ = 23076864.

The previous prime is 91965221. The next prime is 91965241. The reversal of 91965240 is 4256919.

It is a super-3 number, since 3×91965240³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 91965195 and 91965204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91965241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15856 + ... + 20864.

Almost surely, 2^91965240 is an apocalyptic number.

91965240 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91965240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162324000).

91965240 is an abundant number, since it is smaller than the sum of its proper divisors (232682760).

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

91965240 is a wasteful number, since it uses less digits than its factorization.

91965240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5046 (or 5036 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 91965240 is about 9589.8508851806. The cubic root of 91965240 is about 451.3788816520.

The spelling of 91965240 in words is "ninety-one million, nine hundred sixty-five thousand, two hundred forty".