852528690 has 96 divisors (see below), whose sum is σ = 2416115520. Its totient is φ = 207301248.

The previous prime is 852528679. The next prime is 852528697. The reversal of 852528690 is 96825258.

It is a super-2 number, since 2×852528690² = 1453610334546232200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (852528697) 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 47 ways as a sum of consecutive naturals, for example, 92721 + ... + 101499.

It is an arithmetic number, because the mean of its divisors is an integer number (25167870).

Almost surely, 2^852528690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 852528690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208057760).

852528690 is an abundant number, since it is smaller than the sum of its proper divisors (1563586830).

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

852528690 is a wasteful number, since it uses less digits than its factorization.

852528690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8888 (or 8885 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 852528690 is about 29198.0939446396. The cubic root of 852528690 is about 948.2066592669.

The spelling of 852528690 in words is "eight hundred fifty-two million, five hundred twenty-eight thousand, six hundred ninety".