91736820 has 144 divisors (see below), whose sum is σ = 332095680. Its totient is φ = 20962368.

The previous prime is 91736791. The next prime is 91736833. The reversal of 91736820 is 2863719.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24727 + ... + 28193.

It is an arithmetic number, because the mean of its divisors is an integer number (2306220).

Almost surely, 2^91736820 is an apocalyptic number.

91736820 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 91736820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166047840).

91736820 is an abundant number, since it is smaller than the sum of its proper divisors (240358860).

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

91736820 is a wasteful number, since it uses less digits than its factorization.

91736820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3499 (or 3484 counting only the distinct ones).

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

The square root of 91736820 is about 9577.9340152248. The cubic root of 91736820 is about 451.0048655414.

The spelling of 91736820 in words is "ninety-one million, seven hundred thirty-six thousand, eight hundred twenty".