686013240 has 256 divisors, whose sum is σ = 2503872000. Its totient is φ = 148193280.

The previous prime is 686013173. The next prime is 686013277. The reversal of 686013240 is 42310686.

It is a super-2 number, since 2×686013240² = 941228330910595200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 686013198 and 686013207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 425556 + ... + 427164.

It is an arithmetic number, because the mean of its divisors is an integer number (9780750).

Almost surely, 2^686013240 is an apocalyptic number.

686013240 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 686013240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251936000).

686013240 is an abundant number, since it is smaller than the sum of its proper divisors (1817858760).

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

686013240 is a wasteful number, since it uses less digits than its factorization.

686013240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 686013240 is about 26191.8544589725. The cubic root of 686013240 is about 881.9504088201.

It can be divided in two parts, 6860 and 13240, that added together give a triangular number (20100 = T₂₀₀).

The spelling of 686013240 in words is "six hundred eighty-six million, thirteen thousand, two hundred forty".