91892416 has 112 divisors (see below), whose sum is σ = 235549440. Its totient is φ = 34513920.

The previous prime is 91892369. The next prime is 91892431. The reversal of 91892416 is 61429819.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×91892416² = 16888432236634112, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142591 + ... + 143233.

It is an arithmetic number, because the mean of its divisors is an integer number (2103120).

Almost surely, 2^91892416 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 91892416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117774720).

91892416 is an abundant number, since it is smaller than the sum of its proper divisors (143657024).

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

91892416 is a wasteful number, since it uses less digits than its factorization.

91892416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 692 counting only the distinct ones).

The product of its digits is 31104, while the sum is 40.

The square root of 91892416 is about 9586.0532024395. The cubic root of 91892416 is about 451.2597065665.

The spelling of 91892416 in words is "ninety-one million, eight hundred ninety-two thousand, four hundred sixteen".