90952512 has 224 divisors, whose sum is σ = 296509440. Its totient is φ = 24053760.

The previous prime is 90952507. The next prime is 90952513. The reversal of 90952512 is 21525909.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×90952512² = 16544718878220288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90952513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1541539 + ... + 1541597.

Almost surely, 2^90952512 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 90952512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148254720).

90952512 is an abundant number, since it is smaller than the sum of its proper divisors (205556928).

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

90952512 is a wasteful number, since it uses less digits than its factorization.

90952512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 33.

The square root of 90952512 is about 9536.9026418434. The cubic root of 90952512 is about 449.7158897989.

The spelling of 90952512 in words is "ninety million, nine hundred fifty-two thousand, five hundred twelve".