91792440 has 160 divisors (see below), whose sum is σ = 316506960. Its totient is φ = 23846400.

The previous prime is 91792429. The next prime is 91792451. The reversal of 91792440 is 4429719.

It is an interprime number because it is at equal distance from previous prime (91792429) and next prime (91792451).

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 = 91792395 and 91792404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 132495 + ... + 133185.

Almost surely, 2^91792440 is an apocalyptic number.

91792440 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 91792440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158253480).

91792440 is an abundant number, since it is smaller than the sum of its proper divisors (224714520).

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

91792440 is a wasteful number, since it uses less digits than its factorization.

91792440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 91792440 is about 9580.8371241766. The cubic root of 91792440 is about 451.0959951543.

The spelling of 91792440 in words is "ninety-one million, seven hundred ninety-two thousand, four hundred forty".