91838340 has 96 divisors (see below), whose sum is σ = 311713920. Its totient is φ = 22262400.

The previous prime is 91838323. The next prime is 91838359. The reversal of 91838340 is 4383819.

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 = 91838295 and 91838304.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1791 + ... + 13670.

It is an arithmetic number, because the mean of its divisors is an integer number (3247020).

Almost surely, 2^91838340 is an apocalyptic number.

91838340 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 91838340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155856960).

91838340 is an abundant number, since it is smaller than the sum of its proper divisors (219875580).

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

91838340 is a wasteful number, since it uses less digits than its factorization.

91838340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15490 (or 15482 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 91838340 is about 9583.2322313508. The cubic root of 91838340 is about 451.1711714831.

The spelling of 91838340 in words is "ninety-one million, eight hundred thirty-eight thousand, three hundred forty".