681264 has 80 divisors (see below), whose sum is σ = 2083200. Its totient is φ = 212544.

The previous prime is 681259. The next prime is 681271. The reversal of 681264 is 462186.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a nialpdrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 681264.

It is an unprimeable number.

681264 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8167 + ... + 8249.

It is an arithmetic number, because the mean of its divisors is an integer number (26040).

2⁶⁸¹²⁶⁴ 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 681264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041600).

681264 is an abundant number, since it is smaller than the sum of its proper divisors (1401936).

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

681264 is a wasteful number, since it uses less digits than its factorization.

681264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 107 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 681264 is about 825.3871818728. The cubic root of 681264 is about 87.9910459209.

The spelling of 681264 in words is "six hundred eighty-one thousand, two hundred sixty-four".