684789504 has 216 divisors, whose sum is σ = 2192214528. Its totient is φ = 189020160.

The previous prime is 684789493. The next prime is 684789509. The reversal of 684789504 is 405987486.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (684789509) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1166299 + ... + 1166885.

Almost surely, 2^684789504 is an apocalyptic number.

684789504 is a gapful number since it is divisible by the number (64) 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 684789504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096107264).

684789504 is an abundant number, since it is smaller than the sum of its proper divisors (1507425024).

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

684789504 is a wasteful number, since it uses less digits than its factorization.

684789504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The square root of 684789504 is about 26168.4830282537. The cubic root of 684789504 is about 881.4256780086.

The spelling of 684789504 in words is "six hundred eighty-four million, seven hundred eighty-nine thousand, five hundred four".