90253152 has 144 divisors (see below), whose sum is σ = 289336320. Its totient is φ = 26438400.

The previous prime is 90253151. The next prime is 90253159. The reversal of 90253152 is 25135209.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90253151) 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 23 ways as a sum of consecutive naturals, for example, 97749 + ... + 98667.

It is an arithmetic number, because the mean of its divisors is an integer number (2009280).

Almost surely, 2^90253152 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 90253152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144668160).

90253152 is an abundant number, since it is smaller than the sum of its proper divisors (199083168).

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

90253152 is a wasteful number, since it uses less digits than its factorization.

90253152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 90253152 is about 9500.1658932884. The cubic root of 90253152 is about 448.5602578217.

The spelling of 90253152 in words is "ninety million, two hundred fifty-three thousand, one hundred fifty-two".