686101120 has 128 divisors (see below), whose sum is σ = 1701311040. Its totient is φ = 264413184.

The previous prime is 686101061. The next prime is 686101127. The reversal of 686101120 is 21101686.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (686101127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2944524 + ... + 2944756.

Almost surely, 2^686101120 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 686101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850655520).

686101120 is an abundant number, since it is smaller than the sum of its proper divisors (1015209920).

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

686101120 is a wasteful number, since it uses less digits than its factorization.

686101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 686101120 is about 26193.5320260556. The cubic root of 686101120 is about 881.9880672247.

The spelling of 686101120 in words is "six hundred eighty-six million, one hundred one thousand, one hundred twenty".