91642496 has 96 divisors (see below), whose sum is σ = 206067540. Its totient is φ = 40550400.

The previous prime is 91642477. The next prime is 91642531. The reversal of 91642496 is 69424619.

It can be written as a sum of positive squares in 2 ways, for example, as 82156096 + 9486400 = 9064^2 + 3080^2 .

It is a super-2 number, since 2×91642496² = 16796694146220032, which contains 22 as substring.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 944720 + ... + 944816.

Almost surely, 2^91642496 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 91642496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103033770).

91642496 is an abundant number, since it is smaller than the sum of its proper divisors (114425044).

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

91642496 is a wasteful number, since it uses less digits than its factorization.

91642496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 171 counting only the distinct ones).

The product of its digits is 93312, while the sum is 41.

The square root of 91642496 is about 9573.0087224446. The cubic root of 91642496 is about 450.8502378017.

The spelling of 91642496 in words is "ninety-one million, six hundred forty-two thousand, four hundred ninety-six".