91679040 has 224 divisors, whose sum is σ = 329915520. Its totient is φ = 24261120.

The previous prime is 91679039. The next prime is 91679057. The reversal of 91679040 is 4097619.

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 = 91678986 and 91679004.

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 31 ways as a sum of consecutive naturals, for example, 699775 + ... + 699905.

Almost surely, 2^91679040 is an apocalyptic number.

91679040 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 91679040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164957760).

91679040 is an abundant number, since it is smaller than the sum of its proper divisors (238236480).

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

91679040 is an equidigital number, since it uses as much as digits as its factorization.

91679040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 91679040 is about 9574.9172320182. The cubic root of 91679040 is about 450.9101578980.

The spelling of 91679040 in words is "ninety-one million, six hundred seventy-nine thousand, forty".