90084019600 has 135 divisors (see below), whose sum is σ = 222213801123. Its totient is φ = 35094769920.

The previous prime is 90084019579. The next prime is 90084019607. The reversal of 90084019600 is 691048009.

The square root of 90084019600 is 300140.

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 926837136 + 89157182464 = 30444^2 + 298592^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 90084019600.

It is not an unprimeable number, because it can be changed into a prime (90084019607) 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, 258120226 + ... + 258120574.

Almost surely, 2^90084019600 is an apocalyptic number.

90084019600 is the 300140-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90084019600

90084019600 is an abundant number, since it is smaller than the sum of its proper divisors (132129781523).

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

90084019600 is an equidigital number, since it uses as much as digits as its factorization.

90084019600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 399 counting only the distinct ones).

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

The spelling of 90084019600 in words is "ninety billion, eighty-four million, nineteen thousand, six hundred".