91765440 has 448 divisors, whose sum is σ = 375513600. Its totient is φ = 20901888.

The previous prime is 91765433. The next prime is 91765463. The reversal of 91765440 is 4456719.

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 = 91765395 and 91765404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2134059 + ... + 2134101.

It is an arithmetic number, because the mean of its divisors is an integer number (838200).

Almost surely, 2^91765440 is an apocalyptic number.

91765440 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 91765440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187756800).

91765440 is an abundant number, since it is smaller than the sum of its proper divisors (283748160).

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

91765440 is a wasteful number, since it uses less digits than its factorization.

91765440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 91765440 is about 9579.4279578689. The cubic root of 91765440 is about 451.0517620771.

The spelling of 91765440 in words is "ninety-one million, seven hundred sixty-five thousand, four hundred forty".