686988456 has 128 divisors (see below), whose sum is σ = 2193730560. Its totient is φ = 174067200.

The previous prime is 686988451. The next prime is 686988461. The reversal of 686988456 is 654889686.

It is an interprime number because it is at equal distance from previous prime (686988451) and next prime (686988461).

It is a self number, because there is not a number n which added to its sum of digits gives 686988456.

It is not an unprimeable number, because it can be changed into a prime (686988451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71235 + ... + 80301.

It is an arithmetic number, because the mean of its divisors is an integer number (17138520).

Almost surely, 2^686988456 is an apocalyptic number.

686988456 is a gapful number since it is divisible by the number (66) 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 686988456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096865280).

686988456 is an abundant number, since it is smaller than the sum of its proper divisors (1506742104).

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

686988456 is a wasteful number, since it uses less digits than its factorization.

686988456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9135 (or 9131 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 60.

The square root of 686988456 is about 26210.4646277017. The cubic root of 686988456 is about 882.3681290918.

The spelling of 686988456 in words is "six hundred eighty-six million, nine hundred eighty-eight thousand, four hundred fifty-six".