852517632 has 216 divisors, whose sum is σ = 2530112256. Its totient is φ = 254296064.

The previous prime is 852517621. The next prime is 852517657. The reversal of 852517632 is 236715258.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5104813 + ... + 5104979.

Almost surely, 2^852517632 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 852517632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265056128).

852517632 is an abundant number, since it is smaller than the sum of its proper divisors (1677594624).

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

852517632 is a wasteful number, since it uses less digits than its factorization.

852517632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 212 counting only the distinct ones).

The product of its digits is 100800, while the sum is 39.

The square root of 852517632 is about 29197.9045823497. The cubic root of 852517632 is about 948.2025595752.

The spelling of 852517632 in words is "eight hundred fifty-two million, five hundred seventeen thousand, six hundred thirty-two".