684813312 has 352 divisors, whose sum is σ = 2263818240. Its totient is φ = 203489280.

The previous prime is 684813287. The next prime is 684813323. The reversal of 684813312 is 213318486.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14570473 + ... + 14570519.

Almost surely, 2^684813312 is an apocalyptic number.

684813312 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 684813312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131909120).

684813312 is an abundant number, since it is smaller than the sum of its proper divisors (1579004928).

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

684813312 is a wasteful number, since it uses less digits than its factorization.

684813312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 100 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 684813312 is about 26168.9379226594. The cubic root of 684813312 is about 881.4358926995.

The spelling of 684813312 in words is "six hundred eighty-four million, eight hundred thirteen thousand, three hundred twelve".