91971360 has 288 divisors, whose sum is σ = 359115120. Its totient is φ = 21307392.

The previous prime is 91971337. The next prime is 91971371. The reversal of 91971360 is 6317919.

It can be written as a sum of positive squares in 8 ways, for example, as 26749584 + 65221776 = 5172^2 + 8076^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×91971360³ (a number of 25 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5410072 + ... + 5410088.

Almost surely, 2^91971360 is an apocalyptic number.

91971360 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 91971360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179557560).

91971360 is an abundant number, since it is smaller than the sum of its proper divisors (267143760).

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

91971360 is a wasteful number, since it uses less digits than its factorization.

91971360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 91971360 is about 9590.1699672112. The cubic root of 91971360 is about 451.3888940490.

The spelling of 91971360 in words is "ninety-one million, nine hundred seventy-one thousand, three hundred sixty".