810432 has 112 divisors (see below), whose sum is σ = 2763520. Its totient is φ = 228096.

The previous prime is 810427. The next prime is 810437. The reversal of 810432 is 234018.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (810427) and next prime (810437).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (810437) by changing a digit.

810432 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, 12063 + ... + 12129.

2⁸¹⁰⁴³² 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 810432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381760).

810432 is an abundant number, since it is smaller than the sum of its proper divisors (1953088).

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

810432 is a wasteful number, since it uses less digits than its factorization.

810432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 810432 is about 900.2399680085. The cubic root of 810432 is about 93.2335441401.

It can be divided in two parts, 8 and 10432, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 810432 in words is "eight hundred ten thousand, four hundred thirty-two".