91894140 has 144 divisors (see below), whose sum is σ = 303252768. Its totient is φ = 22390272.

The previous prime is 91894123. The next prime is 91894157. The reversal of 91894140 is 4149819.

It is an interprime number because it is at equal distance from previous prime (91894123) and next prime (91894157).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 91894095 and 91894104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 404707 + ... + 404933.

It is an arithmetic number, because the mean of its divisors is an integer number (2105922).

Almost surely, 2^91894140 is an apocalyptic number.

91894140 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91894140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151626384).

91894140 is an abundant number, since it is smaller than the sum of its proper divisors (211358628).

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

91894140 is a wasteful number, since it uses less digits than its factorization.

91894140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 91894140 is about 9586.1431243227. The cubic root of 91894140 is about 451.2625285871.

The spelling of 91894140 in words is "ninety-one million, eight hundred ninety-four thousand, one hundred forty".