91498968 has 96 divisors (see below), whose sum is σ = 282147840. Its totient is φ = 26516160.

The previous prime is 91498943. The next prime is 91498993. The reversal of 91498968 is 86989419.

91498968 is a `hidden beast` number, since 91 + 498 + 9 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (91498943) and next prime (91498993).

It is a super-2 number, since 2×91498968² = 16744122290130048, which contains 22 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 15705 + ... + 20727.

It is an arithmetic number, because the mean of its divisors is an integer number (2939040).

Almost surely, 2^91498968 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 91498968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141073920).

91498968 is an abundant number, since it is smaller than the sum of its proper divisors (190648872).

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

91498968 is a wasteful number, since it uses less digits than its factorization.

91498968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5069 (or 5062 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 54.

The square root of 91498968 is about 9565.5092911982. The cubic root of 91498968 is about 450.6147449996.

The spelling of 91498968 in words is "ninety-one million, four hundred ninety-eight thousand, nine hundred sixty-eight".