91914240 has 256 divisors, whose sum is σ = 339733440. Its totient is φ = 20971520.

The previous prime is 91914239. The next prime is 91914241. The reversal of 91914240 is 4241919.

It is an interprime number because it is at equal distance from previous prime (91914239) and next prime (91914241).

It is a tau number, because it is divible by the number of its divisors (256).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 91914198 and 91914207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91914241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5406712 + ... + 5406728.

Almost surely, 2^91914240 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 91914240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169866720).

91914240 is an abundant number, since it is smaller than the sum of its proper divisors (247819200).

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

91914240 is a wasteful number, since it uses less digits than its factorization.

91914240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 91914240 is about 9587.1914552699. The cubic root of 91914240 is about 451.2954277309.

It can be divided in two parts, 9191 and 4240, that added together give a palindrome (13431).

The spelling of 91914240 in words is "ninety-one million, nine hundred fourteen thousand, two hundred forty".