91633248 has 192 divisors, whose sum is σ = 310464000. Its totient is φ = 25754112.

The previous prime is 91633231. The next prime is 91633259. The reversal of 91633248 is 84233619.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 659163 + ... + 659301.

It is an arithmetic number, because the mean of its divisors is an integer number (1617000).

Almost surely, 2^91633248 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 91633248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155232000).

91633248 is an abundant number, since it is smaller than the sum of its proper divisors (218830752).

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

91633248 is a wasteful number, since it uses less digits than its factorization.

91633248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 260 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 91633248 is about 9572.5256855231. The cubic root of 91633248 is about 450.8350716090.

The spelling of 91633248 in words is "ninety-one million, six hundred thirty-three thousand, two hundred forty-eight".