726864 has 40 divisors (see below), whose sum is σ = 1979040. Its totient is φ = 229248.

The previous prime is 726853. The next prime is 726893. The reversal of 726864 is 468627.

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 726864.

It is an unprimeable number.

726864 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 7 ways as a sum of consecutive naturals, for example, 514 + ... + 1310.

It is an arithmetic number, because the mean of its divisors is an integer number (49476).

2⁷²⁶⁸⁶⁴ 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 726864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989520).

726864 is an abundant number, since it is smaller than the sum of its proper divisors (1252176).

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

726864 is a wasteful number, since it uses less digits than its factorization.

726864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 821 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 726864 is about 852.5631941387. The cubic root of 726864 is about 89.9120127740.

It can be divided in two parts, 726 and 864, that multiplied together give a square (627264 = 792²).

The spelling of 726864 in words is "seven hundred twenty-six thousand, eight hundred sixty-four".