90265952 has 48 divisors (see below), whose sum is σ = 205017120. Its totient is φ = 38320128.

The previous prime is 90265939. The next prime is 90265957. The reversal of 90265952 is 25956209.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90265957) 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 7 ways as a sum of consecutive naturals, for example, 22568 + ... + 26264.

It is an arithmetic number, because the mean of its divisors is an integer number (4271190).

Almost surely, 2^90265952 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 90265952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102508560).

90265952 is an abundant number, since it is smaller than the sum of its proper divisors (114751168).

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

90265952 is a wasteful number, since it uses less digits than its factorization.

90265952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3823 (or 3815 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 38.

The square root of 90265952 is about 9500.8395418510. The cubic root of 90265952 is about 448.5814622516.

The spelling of 90265952 in words is "ninety million, two hundred sixty-five thousand, nine hundred fifty-two".