684181632 has 128 divisors (see below), whose sum is σ = 1875363840. Its totient is φ = 220894208.

The previous prime is 684181577. The next prime is 684181681. The reversal of 684181632 is 236181486.

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3013903 + ... + 3014129.

It is an arithmetic number, because the mean of its divisors is an integer number (14651280).

Almost surely, 2^684181632 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 684181632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937681920).

684181632 is an abundant number, since it is smaller than the sum of its proper divisors (1191182208).

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

684181632 is a wasteful number, since it uses less digits than its factorization.

684181632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 446 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 684181632 is about 26156.8658673015. The cubic root of 684181632 is about 881.1647936531.

The spelling of 684181632 in words is "six hundred eighty-four million, one hundred eighty-one thousand, six hundred thirty-two".