6891456 has 112 divisors (see below), whose sum is σ = 21506688. Its totient is φ = 1920000.

The previous prime is 6891427. The next prime is 6891457. The reversal of 6891456 is 6541986.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6891457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27331 + ... + 27581.

It is an arithmetic number, because the mean of its divisors is an integer number (192024).

Almost surely, 2^6891456 is an apocalyptic number.

6891456 is a gapful number since it is divisible by the number (66) 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 6891456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10753344).

6891456 is an abundant number, since it is smaller than the sum of its proper divisors (14615232).

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

6891456 is a wasteful number, since it uses less digits than its factorization.

6891456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 280 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 6891456 is about 2625.1582809423. The cubic root of 6891456 is about 190.2992146026.

It can be divided in two parts, 689 and 1456, that added together give a triangular number (2145 = T₆₅).

The spelling of 6891456 in words is "six million, eight hundred ninety-one thousand, four hundred fifty-six".