90517900 has 144 divisors (see below), whose sum is σ = 232485120. Its totient is φ = 30240000.

The previous prime is 90517897. The next prime is 90517907. The reversal of 90517900 is 971509.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90517907) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1274865 + ... + 1274935.

It is an arithmetic number, because the mean of its divisors is an integer number (1614480).

Almost surely, 2^90517900 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 90517900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116242560).

90517900 is an abundant number, since it is smaller than the sum of its proper divisors (141967220).

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

90517900 is a wasteful number, since it uses less digits than its factorization.

90517900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 2835, while the sum is 31.

The square root of 90517900 is about 9514.0895518173. The cubic root of 90517900 is about 448.9984308885.

The spelling of 90517900 in words is "ninety million, five hundred seventeen thousand, nine hundred".