853632 has 128 divisors (see below), whose sum is σ = 2856000. Its totient is φ = 248832.

The previous prime is 853597. The next prime is 853637. The reversal of 853632 is 236358.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 853596 and 853605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (853637) by changing a digit.

853632 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 15 ways as a sum of consecutive naturals, for example, 44919 + ... + 44937.

2⁸⁵³⁶³² 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 853632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428000).

853632 is an abundant number, since it is smaller than the sum of its proper divisors (2002368).

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

853632 is a wasteful number, since it uses less digits than its factorization.

853632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 37 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 853632 is about 923.9220746362. The cubic root of 853632 is about 94.8615527192.

It can be divided in two parts, 853 and 632, that added together give a triangular number (1485 = T₅₄).

The spelling of 853632 in words is "eight hundred fifty-three thousand, six hundred thirty-two".