91358496 has 96 divisors (see below), whose sum is σ = 273067200. Its totient is φ = 29698560.

The previous prime is 91358489. The next prime is 91358549. The reversal of 91358496 is 69485319.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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, 34135 + ... + 36713.

It is an arithmetic number, because the mean of its divisors is an integer number (2844450).

Almost surely, 2^91358496 is an apocalyptic number.

91358496 is a gapful number since it is divisible by the number (96) 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 91358496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136533600).

91358496 is an abundant number, since it is smaller than the sum of its proper divisors (181708704).

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

91358496 is a wasteful number, since it uses less digits than its factorization.

91358496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2639 (or 2625 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 91358496 is about 9558.1638404037. The cubic root of 91358496 is about 450.3840277350.

The spelling of 91358496 in words is "ninety-one million, three hundred fifty-eight thousand, four hundred ninety-six".