91914000 has 80 divisors (see below), whose sum is σ = 296350080. Its totient is φ = 24508800.

The previous prime is 91913993. The next prime is 91914013. The reversal of 91914000 is 41919.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1660 + ... + 13659.

It is an arithmetic number, because the mean of its divisors is an integer number (3704376).

Almost surely, 2^91914000 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 91914000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148175040).

91914000 is an abundant number, since it is smaller than the sum of its proper divisors (204436080).

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

91914000 is a wasteful number, since it uses less digits than its factorization.

91914000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15345 (or 15329 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 91914000 is about 9587.1789385616. The cubic root of 91914000 is about 451.2950349336.

Adding to 91914000 its reverse (41919), we get a palindrome (91955919).

The spelling of 91914000 in words is "ninety-one million, nine hundred fourteen thousand".