91836720 has 320 divisors, whose sum is σ = 348727680. Its totient is φ = 22118400.

The previous prime is 91836713. The next prime is 91836727. The reversal of 91836720 is 2763819.

It is an interprime number because it is at equal distance from previous prime (91836713) and next prime (91836727).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91836727) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1505490 + ... + 1505550.

It is an arithmetic number, because the mean of its divisors is an integer number (1089774).

Almost surely, 2^91836720 is an apocalyptic number.

91836720 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 91836720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174363840).

91836720 is an abundant number, since it is smaller than the sum of its proper divisors (256890960).

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

91836720 is a wasteful number, since it uses less digits than its factorization.

91836720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 91836720 is about 9583.1477083472. The cubic root of 91836720 is about 451.1685186274.

The spelling of 91836720 in words is "ninety-one million, eight hundred thirty-six thousand, seven hundred twenty".