91265940 has 144 divisors (see below), whose sum is σ = 291695040. Its totient is φ = 23950080.

The previous prime is 91265917. The next prime is 91265957. The reversal of 91265940 is 4956219.

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 = 91265895 and 91265904.

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 47 ways as a sum of consecutive naturals, for example, 432435 + ... + 432645.

It is an arithmetic number, because the mean of its divisors is an integer number (2025660).

Almost surely, 2^91265940 is an apocalyptic number.

91265940 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 91265940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145847520).

91265940 is an abundant number, since it is smaller than the sum of its proper divisors (200429100).

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

91265940 is a wasteful number, since it uses less digits than its factorization.

91265940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 310 counting only the distinct ones).

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

The square root of 91265940 is about 9553.3208885706. The cubic root of 91265940 is about 450.2318804938.

The spelling of 91265940 in words is "ninety-one million, two hundred sixty-five thousand, nine hundred forty".