90099240 has 256 divisors, whose sum is σ = 345600000. Its totient is φ = 18627840.

The previous prime is 90099227. The next prime is 90099271. The reversal of 90099240 is 4299009.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 452661 + ... + 452859.

It is an arithmetic number, because the mean of its divisors is an integer number (1350000).

Almost surely, 2^90099240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90099240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172800000).

90099240 is an abundant number, since it is smaller than the sum of its proper divisors (255500760).

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

90099240 is a wasteful number, since it uses less digits than its factorization.

90099240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 90099240 is about 9492.0619467005. The cubic root of 90099240 is about 448.3051306714.

The spelling of 90099240 in words is "ninety million, ninety-nine thousand, two hundred forty".