90008400196 has 81 divisors (see below), whose sum is σ = 187657511223. Its totient is φ = 37729760640.

The previous prime is 90008400191. The next prime is 90008400197. The reversal of 90008400196 is 69100480009.

The square root of 90008400196 is 300014.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 645668100 + 89362732096 = 25410^2 + 298936^2 .

It is not an unprimeable number, because it can be changed into a prime (90008400191) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 85803480 + ... + 85804528.

Almost surely, 2^90008400196 is an apocalyptic number.

90008400196 is the 300014-th square number.

It is an amenable number.

90008400196 is an abundant number, since it is smaller than the sum of its proper divisors (97649111027).

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

90008400196 is a wasteful number, since it uses less digits than its factorization.

90008400196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2150 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The spelling of 90008400196 in words is "ninety billion, eight million, four hundred thousand, one hundred ninety-six".