684126720 has 240 divisors, whose sum is σ = 2474252352. Its totient is φ = 174366720.

The previous prime is 684126719. The next prime is 684126739. The reversal of 684126720 is 27621486.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 529275 + ... + 530565.

Almost surely, 2^684126720 is an apocalyptic number.

684126720 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 684126720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237126176).

684126720 is an abundant number, since it is smaller than the sum of its proper divisors (1790125632).

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

684126720 is a wasteful number, since it uses less digits than its factorization.

684126720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 684126720 is about 26155.8161791981. The cubic root of 684126720 is about 881.1412191063.

The spelling of 684126720 in words is "six hundred eighty-four million, one hundred twenty-six thousand, seven hundred twenty".