684677532 has 288 divisors, whose sum is σ = 2162184192. Its totient is φ = 164736000.

The previous prime is 684677527. The next prime is 684677561. The reversal of 684677532 is 235776486.

It is a super-2 number, since 2×684677532² = 937566645651222048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12918418 + ... + 12918470.

It is an arithmetic number, because the mean of its divisors is an integer number (7507584).

Almost surely, 2^684677532 is an apocalyptic number.

684677532 is a gapful number since it is divisible by the number (62) 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 684677532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081092096).

684677532 is an abundant number, since it is smaller than the sum of its proper divisors (1477506660).

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

684677532 is a wasteful number, since it uses less digits than its factorization.

684677532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 148 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 48.

The square root of 684677532 is about 26166.3434969428. The cubic root of 684677532 is about 881.3776338650.

The spelling of 684677532 in words is "six hundred eighty-four million, six hundred seventy-seven thousand, five hundred thirty-two".