90469120 has 144 divisors (see below), whose sum is σ = 259015680. Its totient is φ = 29601792.

The previous prime is 90469103. The next prime is 90469201. The reversal of 90469120 is 2196409.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205861 + ... + 206299.

It is an arithmetic number, because the mean of its divisors is an integer number (1798720).

Almost surely, 2^90469120 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 90469120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129507840).

90469120 is an abundant number, since it is smaller than the sum of its proper divisors (168546560).

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

90469120 is a wasteful number, since it uses less digits than its factorization.

90469120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 90469120 is about 9511.5256399802. The cubic root of 90469120 is about 448.9177614704.

The spelling of 90469120 in words is "ninety million, four hundred sixty-nine thousand, one hundred twenty".