90791760 has 80 divisors (see below), whose sum is σ = 283017600. Its totient is φ = 24076800.

The previous prime is 90791749. The next prime is 90791761. The reversal of 90791760 is 6719709.

It is a tau number, because it is divible by the number of its divisors (80).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90791761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46810 + ... + 48710.

It is an arithmetic number, because the mean of its divisors is an integer number (3537720).

Almost surely, 2^90791760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90791760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141508800).

90791760 is an abundant number, since it is smaller than the sum of its proper divisors (192225840).

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

90791760 is a wasteful number, since it uses less digits than its factorization.

90791760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2116 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 39.

The square root of 90791760 is about 9528.4710211030. The cubic root of 90791760 is about 449.4507867624.

The spelling of 90791760 in words is "ninety million, seven hundred ninety-one thousand, seven hundred sixty".