815352 has 32 divisors (see below), whose sum is σ = 2080080. Its totient is φ = 266240.

The previous prime is 815351. The next prime is 815389. The reversal of 815352 is 253518.

815352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a plaindrome in base 15.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (815351) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 952 + ... + 1592.

2⁸¹⁵³⁵² 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 815352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040040).

815352 is an abundant number, since it is smaller than the sum of its proper divisors (1264728).

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

815352 is a wasteful number, since it uses less digits than its factorization.

815352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 699 counting only the distinct ones).

The product of its digits is 1200, while the sum is 24.

The square root of 815352 is about 902.9684379866. The cubic root of 815352 is about 93.4218321585.

The spelling of 815352 in words is "eight hundred fifteen thousand, three hundred fifty-two".