91248640 has 192 divisors, whose sum is σ = 267321600. Its totient is φ = 29196288.

The previous prime is 91248631. The next prime is 91248653. The reversal of 91248640 is 4684219.

It is a junction number, because it is equal to n+sod(n) for n = 91248596 and 91248605.

It is a congruent number.

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, 1361887 + ... + 1361953.

It is an arithmetic number, because the mean of its divisors is an integer number (1392300).

Almost surely, 2^91248640 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 91248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133660800).

91248640 is an abundant number, since it is smaller than the sum of its proper divisors (176072960).

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

91248640 is a wasteful number, since it uses less digits than its factorization.

91248640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 91248640 is about 9552.4154013527. The cubic root of 91248640 is about 450.2034306554.

The spelling of 91248640 in words is "ninety-one million, two hundred forty-eight thousand, six hundred forty".