91682496 has 112 divisors (see below), whose sum is σ = 285475680. Its totient is φ = 28753920.

The previous prime is 91682491. The next prime is 91682501. The reversal of 91682496 is 69428619.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (91682491) and next prime (91682501).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (91682491) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27816 + ... + 30936.

It is an arithmetic number, because the mean of its divisors is an integer number (2548890).

Almost surely, 2^91682496 is an apocalyptic number.

91682496 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 91682496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142737840).

91682496 is an abundant number, since it is smaller than the sum of its proper divisors (193793184).

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

91682496 is a wasteful number, since it uses less digits than its factorization.

91682496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3159 (or 3143 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 91682496 is about 9575.0977018514. The cubic root of 91682496 is about 450.9158237730.

It can be divided in two parts, 9168 and 2496, that added together give a square (11664 = 108²).

The spelling of 91682496 in words is "ninety-one million, six hundred eighty-two thousand, four hundred ninety-six".