684735392 has 96 divisors (see below), whose sum is σ = 1554577920. Its totient is φ = 293835520.

The previous prime is 684735391. The next prime is 684735407. The reversal of 684735392 is 293537486.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (684735391) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 671459 + ... + 672477.

It is an arithmetic number, because the mean of its divisors is an integer number (16193520).

Almost surely, 2^684735392 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 684735392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777288960).

684735392 is an abundant number, since it is smaller than the sum of its proper divisors (869842528).

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

684735392 is a wasteful number, since it uses less digits than its factorization.

684735392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1138 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 47.

The square root of 684735392 is about 26167.4490923361. The cubic root of 684735392 is about 881.4024606733.

The spelling of 684735392 in words is "six hundred eighty-four million, seven hundred thirty-five thousand, three hundred ninety-two".