90390120 has 64 divisors (see below), whose sum is σ = 272341440. Its totient is φ = 24000000.

The previous prime is 90390077. The next prime is 90390121. The reversal of 90390120 is 2109309.

It is a happy number.

It is a super-2 number, since 2×90390120² = 16340747587228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (90390121) 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, 28620 + ... + 31620.

It is an arithmetic number, because the mean of its divisors is an integer number (4255335).

Almost surely, 2^90390120 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 90390120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136170720).

90390120 is an abundant number, since it is smaller than the sum of its proper divisors (181951320).

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

90390120 is a wasteful number, since it uses less digits than its factorization.

90390120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3266 (or 3262 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 90390120 is about 9507.3718766019. The cubic root of 90390120 is about 448.7870545101.

Adding to 90390120 its reverse (2109309), we get a palindrome (92499429).

The spelling of 90390120 in words is "ninety million, three hundred ninety thousand, one hundred twenty".