90498240 has 252 divisors, whose sum is σ = 361133136. Its totient is φ = 20376576.

The previous prime is 90498229. The next prime is 90498329. The reversal of 90498240 is 4289409.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (252).

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 = 90498195 and 90498204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1350687 + ... + 1350753.

It is an arithmetic number, because the mean of its divisors is an integer number (1433068).

Almost surely, 2^90498240 is an apocalyptic number.

90498240 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 90498240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180566568).

90498240 is an abundant number, since it is smaller than the sum of its proper divisors (270634896).

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

90498240 is a wasteful number, since it uses less digits than its factorization.

90498240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 90498240 is about 9513.0562912242. The cubic root of 90498240 is about 448.9659218551.

The spelling of 90498240 in words is "ninety million, four hundred ninety-eight thousand, two hundred forty".