6887400 has 96 divisors (see below), whose sum is σ = 23019360. Its totient is φ = 1693440.

The previous prime is 6887393. The next prime is 6887411. The reversal of 6887400 is 47886.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7359 + ... + 8241.

It is an arithmetic number, because the mean of its divisors is an integer number (239785).

Almost surely, 2^6887400 is an apocalyptic number.

6887400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6887400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11509680).

6887400 is an abundant number, since it is smaller than the sum of its proper divisors (16131960).

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

6887400 is a wasteful number, since it uses less digits than its factorization.

6887400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 6887400 is about 2624.3856423933. The cubic root of 6887400 is about 190.2618734326.

The spelling of 6887400 in words is "six million, eight hundred eighty-seven thousand, four hundred".