90275952 has 80 divisors (see below), whose sum is σ = 252761600. Its totient is φ = 27599616.

The previous prime is 90275951. The next prime is 90275953. The reversal of 90275952 is 25957209.

It is an interprime number because it is at equal distance from previous prime (90275951) and next prime (90275953).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 90275952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90275951) 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, 123813 + ... + 124539.

It is an arithmetic number, because the mean of its divisors is an integer number (3159520).

Almost surely, 2^90275952 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 90275952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126380800).

90275952 is an abundant number, since it is smaller than the sum of its proper divisors (162485648).

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

90275952 is a wasteful number, since it uses less digits than its factorization.

90275952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 39.

The square root of 90275952 is about 9501.3657965579. The cubic root of 90275952 is about 448.5980268177.

The spelling of 90275952 in words is "ninety million, two hundred seventy-five thousand, nine hundred fifty-two".