684331488 has 72 divisors (see below), whose sum is σ = 1949835888. Its totient is φ = 227668992.

The previous prime is 684331469. The next prime is 684331507. The reversal of 684331488 is 884133486.

It is an interprime number because it is at equal distance from previous prime (684331469) and next prime (684331507).

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 168781 + ... + 172787.

It is an arithmetic number, because the mean of its divisors is an integer number (27081054).

Almost surely, 2^684331488 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 684331488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974917944).

684331488 is an abundant number, since it is smaller than the sum of its proper divisors (1265504400).

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

684331488 is a wasteful number, since it uses less digits than its factorization.

684331488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4616 (or 4605 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 684331488 is about 26159.7302738388. The cubic root of 684331488 is about 881.2291226682.

The spelling of 684331488 in words is "six hundred eighty-four million, three hundred thirty-one thousand, four hundred eighty-eight".