686446632 has 48 divisors (see below), whose sum is σ = 1861472340. Its totient is φ = 228526848.

The previous prime is 686446577. The next prime is 686446633. The reversal of 686446632 is 236644686.

686446632 is a `hidden beast` number, since 6 + 8 + 6 + 4 + 4 + 6 + 632 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 684031716 + 2414916 = 26154^2 + 1554^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (686446633) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55828 + ... + 67004.

Almost surely, 2^686446632 is an apocalyptic number.

It is an amenable number.

686446632 is an abundant number, since it is smaller than the sum of its proper divisors (1175025708).

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

686446632 is a wasteful number, since it uses less digits than its factorization.

686446632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12042 (or 12035 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The square root of 686446632 is about 26200.1265645798. The cubic root of 686446632 is about 882.1360951235.

The spelling of 686446632 in words is "six hundred eighty-six million, four hundred forty-six thousand, six hundred thirty-two".