91727820 has 72 divisors (see below), whose sum is σ = 292896240. Its totient is φ = 23172480.

The previous prime is 91727813. The next prime is 91727821. The reversal of 91727820 is 2872719.

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

It is not an unprimeable number, because it can be changed into a prime (91727821) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 9991 + ... + 16830.

Almost surely, 2^91727820 is an apocalyptic number.

91727820 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

91727820 is an abundant number, since it is smaller than the sum of its proper divisors (201168420).

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

91727820 is a wasteful number, since it uses less digits than its factorization.

91727820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26855 (or 26850 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 91727820 is about 9577.4641737779. The cubic root of 91727820 is about 450.9901161873.

The spelling of 91727820 in words is "ninety-one million, seven hundred twenty-seven thousand, eight hundred twenty".