90098640 has 180 divisors, whose sum is σ = 322169484. Its totient is φ = 22560768.

The previous prime is 90098639. The next prime is 90098651. The reversal of 90098640 is 4689009.

90098640 is a `hidden beast` number, since 9 + 0 + 0 + 9 + 8 + 640 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 576 + 90098064 = 24^2 + 9492^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a junction number, because it is equal to n+sod(n) for n = 90098595 and 90098604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 207864 + ... + 208296.

Almost surely, 2^90098640 is an apocalyptic number.

90098640 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90098640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161084742).

90098640 is an abundant number, since it is smaller than the sum of its proper divisors (232070844).

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

90098640 is a wasteful number, since it uses less digits than its factorization.

90098640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 460 counting only the distinct ones).

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

The square root of 90098640 is about 9492.0303412916. The cubic root of 90098640 is about 448.3041355329.

The spelling of 90098640 in words is "ninety million, ninety-eight thousand, six hundred forty".