715806 has 96 divisors (see below), whose sum is σ = 2096640. Its totient is φ = 171072.

The previous prime is 715801. The next prime is 715811. The reversal of 715806 is 608517.

715806 is a nontrivial binomial coefficient, being equal to C(1197, 2).

It is an interprime number because it is at equal distance from previous prime (715801) and next prime (715811).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 715806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (715801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31111 + ... + 31133.

It is an arithmetic number, because the mean of its divisors is an integer number (21840).

2⁷¹⁵⁸⁰⁶ is an apocalyptic number.

715806 is the 1196-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 715806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048320).

715806 is an abundant number, since it is smaller than the sum of its proper divisors (1380834).

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

715806 is a wasteful number, since it uses less digits than its factorization.

715806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 715806 is about 846.0531898173. The cubic root of 715806 is about 89.4537280449.

It can be divided in two parts, 715 and 806, that added together give a square (1521 = 39²).

The spelling of 715806 in words is "seven hundred fifteen thousand, eight hundred six".