686160720 has 300 divisors, whose sum is σ = 2773504404. Its totient is φ = 156764160.

The previous prime is 686160701. The next prime is 686160733. The reversal of 686160720 is 27061686.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 338412816 + 347747904 = 18396^2 + 18648^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 316440 + ... + 318600.

Almost surely, 2^686160720 is an apocalyptic number.

686160720 is a gapful number since it is divisible by the number (60) 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 686160720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386752202).

686160720 is an abundant number, since it is smaller than the sum of its proper divisors (2087343684).

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

686160720 is a wasteful number, since it uses less digits than its factorization.

686160720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2200 (or 2178 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 686160720 is about 26194.6696867893. The cubic root of 686160720 is about 882.0136052323.

The spelling of 686160720 in words is "six hundred eighty-six million, one hundred sixty thousand, seven hundred twenty".