836352 has 108 divisors (see below), whose sum is σ = 2718520. Its totient is φ = 253440.

The previous prime is 836351. The next prime is 836369. The reversal of 836352 is 253638.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (108).

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

Its product of digits (4320) is a multiple of the sum of its prime divisors (16).

It is a plaindrome in base 13.

It is a nialpdrome in base 16.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (836351) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76027 + ... + 76037.

836352 is a Friedman number, since it can be written as 528^(6/3)*3, using all its digits and the basic arithmetic operations.

2⁸³⁶³⁵² 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 836352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359260).

836352 is an abundant number, since it is smaller than the sum of its proper divisors (1882168).

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

836352 is a wasteful number, since it uses less digits than its factorization.

836352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 16 counting only the distinct ones).

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

The square root of 836352 is about 914.5228263964. The cubic root of 836352 is about 94.2170929265.

Multiplying 836352 by its sum of digits (27), we get a square (22581504 = 4752²).

836352 divided by its sum of digits (27) gives a square (30976 = 176²).

The spelling of 836352 in words is "eight hundred thirty-six thousand, three hundred fifty-two".