851632 has 40 divisors (see below), whose sum is σ = 1821312. Its totient is φ = 384000.

The previous prime is 851623. The next prime is 851633. The reversal of 851632 is 236158.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 851597 and 851606.

It is not an unprimeable number, because it can be changed into a prime (851633) by changing a digit.

851632 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8382 + ... + 8482.

2⁸⁵¹⁶³² 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 851632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910656).

851632 is an abundant number, since it is smaller than the sum of its proper divisors (969680).

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

851632 is a wasteful number, since it uses less digits than its factorization.

851632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 151 counting only the distinct ones).

The product of its digits is 1440, while the sum is 25.

The square root of 851632 is about 922.8390975679. The cubic root of 851632 is about 94.7874101270.

The spelling of 851632 in words is "eight hundred fifty-one thousand, six hundred thirty-two".