6805152 has 36 divisors (see below), whose sum is σ = 19352970. Its totient is φ = 2268288.

The previous prime is 6805121. The next prime is 6805157. The reversal of 6805152 is 2515086.

It can be written as a sum of positive squares in only one way, i.e., 6780816 + 24336 = 2604^2 + 156^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (6805157) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11527 + ... + 12102.

Almost surely, 2^6805152 is an apocalyptic number.

It is an amenable number.

6805152 is an abundant number, since it is smaller than the sum of its proper divisors (12547818).

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

6805152 is a wasteful number, since it uses less digits than its factorization.

6805152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23645 (or 23634 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 6805152 is about 2608.6686259470. The cubic root of 6805152 is about 189.5014816916.

It can be divided in two parts, 680 and 5152, that added together give a cube (5832 = 18³).

The spelling of 6805152 in words is "six million, eight hundred five thousand, one hundred fifty-two".