686466432 has 96 divisors (see below), whose sum is σ = 1987011000. Its totient is φ = 227475456.

The previous prime is 686466419. The next prime is 686466437. The reversal of 686466432 is 234664686.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (686466437) 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, 204544 + ... + 207872.

Almost surely, 2^686466432 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 686466432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993505500).

686466432 is an abundant number, since it is smaller than the sum of its proper divisors (1300544568).

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

686466432 is a wasteful number, since it uses less digits than its factorization.

686466432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3528 (or 3513 counting only the distinct ones).

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

The square root of 686466432 is about 26200.5044226251. The cubic root of 686466432 is about 882.1445765436.

It can be divided in two parts, 68646 and 6432, that added together give a triangular number (75078 = T₃₈₇).

The spelling of 686466432 in words is "six hundred eighty-six million, four hundred sixty-six thousand, four hundred thirty-two".