852669090 has 288 divisors, whose sum is σ = 2823387840. Its totient is φ = 176940288.

The previous prime is 852669089. The next prime is 852669131. The reversal of 852669090 is 90966258.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6134241 + ... + 6134379.

It is an arithmetic number, because the mean of its divisors is an integer number (9803430).

Almost surely, 2^852669090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 852669090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411693920).

852669090 is an abundant number, since it is smaller than the sum of its proper divisors (1970718750).

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

852669090 is a wasteful number, since it uses less digits than its factorization.

852669090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 852669090 is about 29200.4981121898. The cubic root of 852669090 is about 948.2587087010.

The spelling of 852669090 in words is "eight hundred fifty-two million, six hundred sixty-nine thousand, ninety".