91913760 has 288 divisors, whose sum is σ = 339655680. Its totient is φ = 22579200.

The previous prime is 91913753. The next prime is 91913797. The reversal of 91913760 is 6731919.

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

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, 1294525 + ... + 1294595.

It is an arithmetic number, because the mean of its divisors is an integer number (1179360).

Almost surely, 2^91913760 is an apocalyptic number.

91913760 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 91913760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169827840).

91913760 is an abundant number, since it is smaller than the sum of its proper divisors (247741920).

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

91913760 is a wasteful number, since it uses less digits than its factorization.

91913760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 141 counting only the distinct ones).

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

The square root of 91913760 is about 9587.1664218371. The cubic root of 91913760 is about 451.2946421356.

The spelling of 91913760 in words is "ninety-one million, nine hundred thirteen thousand, seven hundred sixty".