91858944 has 48 divisors (see below), whose sum is σ = 244913760. Its totient is φ = 30617600.

The previous prime is 91858937. The next prime is 91858957. The reversal of 91858944 is 44985819.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 91858893 and 91858902.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1332 + ... + 13619.

It is an arithmetic number, because the mean of its divisors is an integer number (5102370).

Almost surely, 2^91858944 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 91858944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122456880).

91858944 is an abundant number, since it is smaller than the sum of its proper divisors (153054816).

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

91858944 is a wasteful number, since it uses less digits than its factorization.

91858944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14976 (or 14956 counting only the distinct ones).

The product of its digits is 414720, while the sum is 48.

The square root of 91858944 is about 9584.3071737085. The cubic root of 91858944 is about 451.2049091564.

The spelling of 91858944 in words is "ninety-one million, eight hundred fifty-eight thousand, nine hundred forty-four".