91948920 has 256 divisors, whose sum is σ = 343388160. Its totient is φ = 19218432.

The previous prime is 91948907. The next prime is 91948931. The reversal of 91948920 is 2984919.

It is a Cunningham number, because it is equal to 9589²-1.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 671092 + ... + 671228.

It is an arithmetic number, because the mean of its divisors is an integer number (1341360).

Almost surely, 2^91948920 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 91948920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171694080).

91948920 is an abundant number, since it is smaller than the sum of its proper divisors (251439240).

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

91948920 is a wasteful number, since it uses less digits than its factorization.

91948920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 91948920 is about 9588.9999478569. Note that the first 4 decimals coincide. The cubic root of 91948920 is about 451.3521797548.

The spelling of 91948920 in words is "ninety-one million, nine hundred forty-eight thousand, nine hundred twenty".