90099000 has 256 divisors, whose sum is σ = 323481600. Its totient is φ = 23184000.

The previous prime is 90098999. The next prime is 90099001. The reversal of 90099000 is 99009.

It is an interprime number because it is at equal distance from previous prime (90098999) and next prime (90099001).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90099001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1268965 + ... + 1269035.

It is an arithmetic number, because the mean of its divisors is an integer number (1263600).

Almost surely, 2^90099000 is an apocalyptic number.

90099000 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 90099000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161740800).

90099000 is an abundant number, since it is smaller than the sum of its proper divisors (233382600).

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

90099000 is a wasteful number, since it uses less digits than its factorization.

90099000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 27.

The square root of 90099000 is about 9492.0493045496. The cubic root of 90099000 is about 448.3047326166.

The spelling of 90099000 in words is "ninety million, ninety-nine thousand".