91388160 has 108 divisors (see below), whose sum is σ = 316233372. Its totient is φ = 24367104.

The previous prime is 91388123. The next prime is 91388183. The reversal of 91388160 is 6188319.

It can be written as a sum of positive squares in 2 ways, for example, as 29419776 + 61968384 = 5424^2 + 7872^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7554 + ... + 15486.

Almost surely, 2^91388160 is an apocalyptic number.

91388160 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 91388160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158116686).

91388160 is an abundant number, since it is smaller than the sum of its proper divisors (224845212).

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

91388160 is a wasteful number, since it uses less digits than its factorization.

91388160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7960 (or 7943 counting only the distinct ones).

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

The square root of 91388160 is about 9559.7154769376. The cubic root of 91388160 is about 450.4327688543.

The spelling of 91388160 in words is "ninety-one million, three hundred eighty-eight thousand, one hundred sixty".