90253104 has 80 divisors (see below), whose sum is σ = 251769600. Its totient is φ = 27774208.

The previous prime is 90253103. The next prime is 90253129. The reversal of 90253104 is 40135209.

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 (90253103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30607 + ... + 33425.

It is an arithmetic number, because the mean of its divisors is an integer number (3147120).

Almost surely, 2^90253104 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 90253104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125884800).

90253104 is an abundant number, since it is smaller than the sum of its proper divisors (161516496).

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

90253104 is a wasteful number, since it uses less digits than its factorization.

90253104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2882 (or 2876 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 90253104 is about 9500.1633670164. The cubic root of 90253104 is about 448.5601783013.

The spelling of 90253104 in words is "ninety million, two hundred fifty-three thousand, one hundred four".