684407148 has 48 divisors (see below), whose sum is σ = 1695909600. Its totient is φ = 214078464.

The previous prime is 684407111. The next prime is 684407149. The reversal of 684407148 is 841704486.

It is a happy number.

684407148 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (684407149) 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, 66390 + ... + 76002.

It is an arithmetic number, because the mean of its divisors is an integer number (35331450).

Almost surely, 2^684407148 is an apocalyptic number.

684407148 is a gapful number since it is divisible by the number (68) 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 684407148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847954800).

684407148 is an abundant number, since it is smaller than the sum of its proper divisors (1011502452).

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

684407148 is a wasteful number, since it uses less digits than its factorization.

684407148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9986 (or 9984 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 684407148 is about 26161.1763496980. The cubic root of 684407148 is about 881.2615978354.

The spelling of 684407148 in words is "six hundred eighty-four million, four hundred seven thousand, one hundred forty-eight".