6891264 has 72 divisors (see below), whose sum is σ = 20399120. Its totient is φ = 2294784.

The previous prime is 6891251. The next prime is 6891277. The reversal of 6891264 is 4621986.

It is an interprime number because it is at equal distance from previous prime (6891251) and next prime (6891277).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6414 + ... + 7410.

Almost surely, 2^6891264 is an apocalyptic number.

6891264 is a gapful number since it is divisible by the number (64) 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 6891264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10199560).

6891264 is an abundant number, since it is smaller than the sum of its proper divisors (13507856).

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

6891264 is an equidigital number, since it uses as much as digits as its factorization.

6891264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1002 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 6891264 is about 2625.1217114641. The cubic root of 6891264 is about 190.2974473037.

It can be divided in two parts, 689 and 1264, that added together give a triangular number (1953 = T₆₂).

The spelling of 6891264 in words is "six million, eight hundred ninety-one thousand, two hundred sixty-four".