8261352 has 160 divisors (see below), whose sum is σ = 27007200. Its totient is φ = 2332800.

The previous prime is 8261339. The next prime is 8261353. The reversal of 8261352 is 2531628.

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

Its product of digits (2880) is a multiple of the sum of its prime divisors (96).

It is not an unprimeable number, because it can be changed into a prime (8261353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 135402 + ... + 135462.

It is an arithmetic number, because the mean of its divisors is an integer number (168795).

Almost surely, 2^8261352 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 8261352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13503600).

8261352 is an abundant number, since it is smaller than the sum of its proper divisors (18745848).

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

8261352 is a wasteful number, since it uses less digits than its factorization.

8261352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 96 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 8261352 is about 2874.2567734982. The cubic root of 8261352 is about 202.1546376592.

The spelling of 8261352 in words is "eight million, two hundred sixty-one thousand, three hundred fifty-two".