686367360 has 384 divisors, whose sum is σ = 2806876800. Its totient is φ = 151216128.

The previous prime is 686367349. The next prime is 686367413. The reversal of 686367360 is 63763686.

686367360 is a `hidden beast` number, since 6 + 8 + 636 + 7 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×686367360² = 942200305746739200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1168987 + ... + 1169573.

It is an arithmetic number, because the mean of its divisors is an integer number (7309575).

Almost surely, 2^686367360 is an apocalyptic number.

686367360 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 686367360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403438400).

686367360 is an abundant number, since it is smaller than the sum of its proper divisors (2120509440).

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

686367360 is a wasteful number, since it uses less digits than its factorization.

686367360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 686367360 is about 26198.6137037821. The cubic root of 686367360 is about 882.1021369680.

The spelling of 686367360 in words is "six hundred eighty-six million, three hundred sixty-seven thousand, three hundred sixty".