90900360 has 128 divisors (see below), whose sum is σ = 320889600. Its totient is φ = 22809600.

The previous prime is 90900283. The next prime is 90900361. The reversal of 90900360 is 6300909.

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

It is not an unprimeable number, because it can be changed into a prime (90900361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15885 + ... + 20835.

It is an arithmetic number, because the mean of its divisors is an integer number (2506950).

Almost surely, 2^90900360 is an apocalyptic number.

90900360 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 90900360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160444800).

90900360 is an abundant number, since it is smaller than the sum of its proper divisors (229989240).

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

90900360 is a wasteful number, since it uses less digits than its factorization.

90900360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4988 (or 4978 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 90900360 is about 9534.1680287270. The cubic root of 90900360 is about 449.6299179485.

The spelling of 90900360 in words is "ninety million, nine hundred thousand, three hundred sixty".