6166400 has 96 divisors (see below), whose sum is σ = 15936480. Its totient is φ = 2355200.

The previous prime is 6166379. The next prime is 6166403. The reversal of 6166400 is 46616.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6166403) 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, 131177 + ... + 131223.

It is an arithmetic number, because the mean of its divisors is an integer number (166005).

Almost surely, 2^6166400 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 6166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7968240).

6166400 is an abundant number, since it is smaller than the sum of its proper divisors (9770080).

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

6166400 is a wasteful number, since it uses less digits than its factorization.

6166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 6166400 is about 2483.2237112270. The cubic root of 6166400 is about 183.3765921795.

The spelling of 6166400 in words is "six million, one hundred sixty-six thousand, four hundred".