90852664 has 48 divisors (see below), whose sum is σ = 199228680. Its totient is φ = 38727360.

The previous prime is 90852647. The next prime is 90852667. The reversal of 90852664 is 46625809.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90852667) 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 11 ways as a sum of consecutive naturals, for example, 88474 + ... + 89494.

Almost surely, 2^90852664 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 90852664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99614340).

90852664 is an abundant number, since it is smaller than the sum of its proper divisors (108376016).

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

90852664 is a wasteful number, since it uses less digits than its factorization.

90852664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 90852664 is about 9531.6663810689. Note that the first 3 decimals coincide. The cubic root of 90852664 is about 449.5512629592.

The spelling of 90852664 in words is "ninety million, eight hundred fifty-two thousand, six hundred sixty-four".