91957248 has 96 divisors (see below), whose sum is σ = 272563200. Its totient is φ = 30633984.

The previous prime is 91957241. The next prime is 91957249. The reversal of 91957248 is 84275919.

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

It is a super-2 number, since 2×91957248² = 16912270919467008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (91957241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54465 + ... + 56127.

It is an arithmetic number, because the mean of its divisors is an integer number (2839200).

Almost surely, 2^91957248 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 91957248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136281600).

91957248 is an abundant number, since it is smaller than the sum of its proper divisors (180605952).

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

91957248 is a wasteful number, since it uses less digits than its factorization.

91957248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694 (or 1668 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 91957248 is about 9589.4341856024. The cubic root of 91957248 is about 451.3658059706.

The spelling of 91957248 in words is "ninety-one million, nine hundred fifty-seven thousand, two hundred forty-eight".