90125760 has 112 divisors (see below), whose sum is σ = 288036000. Its totient is φ = 23875584.

The previous prime is 90125741. The next prime is 90125771. The reversal of 90125760 is 6752109.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 258066 + ... + 258414.

It is an arithmetic number, because the mean of its divisors is an integer number (2571750).

Almost surely, 2^90125760 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 90125760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144018000).

90125760 is an abundant number, since it is smaller than the sum of its proper divisors (197910240).

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

90125760 is a wasteful number, since it uses less digits than its factorization.

90125760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 90125760 is about 9493.4588006690. The cubic root of 90125760 is about 448.3491113819.

Adding to 90125760 its reverse (6752109), we get a palindrome (96877869).

The spelling of 90125760 in words is "ninety million, one hundred twenty-five thousand, seven hundred sixty".