90098064 has 135 divisors (see below), whose sum is σ = 295935393. Its totient is φ = 25514496.

The previous prime is 90098051. The next prime is 90098081. The reversal of 90098064 is 46089009.

The square root of 90098064 is 9492.

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

It can be written as a sum of positive squares in only one way, i.e., 1587600 + 88510464 = 1260^2 + 9408^2 .

It is a super-2 number, since 2×90098064² = 16235322273096192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 797272 + ... + 797384.

Almost surely, 2^90098064 is an apocalyptic number.

90098064 is the 9492-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90098064

90098064 is an abundant number, since it is smaller than the sum of its proper divisors (205837329).

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

90098064 is a wasteful number, since it uses less digits than its factorization.

90098064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The cubic root of 90098064 is about 448.3031801958.

Multiplying 90098064 by its sum of digits (36), we get a square (3243530304 = 56952²).

90098064 divided by its sum of digits (36) gives a square (2502724 = 1582²).

The spelling of 90098064 in words is "ninety million, ninety-eight thousand, sixty-four".