107686460 has 96 divisors (see below), whose sum is σ = 275208192. Its totient is φ = 34594560.

The previous prime is 107686451. The next prime is 107686463. The reversal of 107686460 is 64686701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107686463) 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, 170345 + ... + 170975.

It is an arithmetic number, because the mean of its divisors is an integer number (2866752).

Almost surely, 2^107686460 is an apocalyptic number.

107686460 is a gapful number since it is divisible by the number (10) 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 107686460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137604096).

107686460 is an abundant number, since it is smaller than the sum of its proper divisors (167521732).

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

107686460 is a wasteful number, since it uses less digits than its factorization.

107686460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 107686460 is about 10377.2086805653. The cubic root of 107686460 is about 475.7590228592.

The spelling of 107686460 in words is "one hundred seven million, six hundred eighty-six thousand, four hundred sixty".