852721632 has 288 divisors, whose sum is σ = 2971987200. Its totient is φ = 226381824.

The previous prime is 852721621. The next prime is 852721657. The reversal of 852721632 is 236127258.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4763719 + ... + 4763897.

It is an arithmetic number, because the mean of its divisors is an integer number (10319400).

Almost surely, 2^852721632 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 852721632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485993600).

852721632 is an abundant number, since it is smaller than the sum of its proper divisors (2119265568).

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

852721632 is a wasteful number, since it uses less digits than its factorization.

852721632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 347 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 852721632 is about 29201.3977747641. The cubic root of 852721632 is about 948.2781857315.

The spelling of 852721632 in words is "eight hundred fifty-two million, seven hundred twenty-one thousand, six hundred thirty-two".