90201120 has 96 divisors (see below), whose sum is σ = 286820352. Its totient is φ = 23826432.

The previous prime is 90201091. The next prime is 90201121. The reversal of 90201120 is 2110209.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 90201120.

It is not an unprimeable number, because it can be changed into a prime (90201121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53409 + ... + 55071.

It is an arithmetic number, because the mean of its divisors is an integer number (2987712).

Almost surely, 2^90201120 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 90201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143410176).

90201120 is an abundant number, since it is smaller than the sum of its proper divisors (196619232).

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

90201120 is a wasteful number, since it uses less digits than its factorization.

90201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794 (or 1786 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 90201120 is about 9497.4270199881. The cubic root of 90201120 is about 448.4740411692.

Adding to 90201120 its reverse (2110209), we get a palindrome (92311329).

The spelling of 90201120 in words is "ninety million, two hundred one thousand, one hundred twenty".