684742080 has 224 divisors, whose sum is σ = 2412845568. Its totient is φ = 163123200.

The previous prime is 684742063. The next prime is 684742087. The reversal of 684742080 is 80247486.

It is a super-2 number, since 2×684742080² = 937743432245452800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (684742087) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 643629 + ... + 644691.

It is an arithmetic number, because the mean of its divisors is an integer number (10771632).

Almost surely, 2^684742080 is an apocalyptic number.

684742080 is a gapful number since it is divisible by the number (60) 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 684742080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206422784).

684742080 is an abundant number, since it is smaller than the sum of its proper divisors (1728103488).

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

684742080 is a wasteful number, since it uses less digits than its factorization.

684742080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 684742080 is about 26167.5768843812. The cubic root of 684742080 is about 881.4053302979.

The spelling of 684742080 in words is "six hundred eighty-four million, seven hundred forty-two thousand, eighty".