6889400 has 144 divisors (see below), whose sum is σ = 20143800. Its totient is φ = 2177280.

The previous prime is 6889391. The next prime is 6889411. The reversal of 6889400 is 49886.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 186182 + ... + 186218.

Almost surely, 2^6889400 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 6889400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10071900).

6889400 is an abundant number, since it is smaller than the sum of its proper divisors (13254400).

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

6889400 is a wasteful number, since it uses less digits than its factorization.

6889400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 6889400 is about 2624.7666562954. The cubic root of 6889400 is about 190.2802880700.

It can be divided in two parts, 6889 and 400, that multiplied together give a square (2755600 = 1660²).

The spelling of 6889400 in words is "six million, eight hundred eighty-nine thousand, four hundred".