684095760 has 320 divisors, whose sum is σ = 2523648000. Its totient is φ = 169827840.

The previous prime is 684095749. The next prime is 684095771. The reversal of 684095760 is 67590486.

It is an interprime number because it is at equal distance from previous prime (684095749) and next prime (684095771).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3242055 + ... + 3242265.

It is an arithmetic number, because the mean of its divisors is an integer number (7886400).

Almost surely, 2^684095760 is an apocalyptic number.

684095760 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 684095760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261824000).

684095760 is an abundant number, since it is smaller than the sum of its proper divisors (1839552240).

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

684095760 is a wasteful number, since it uses less digits than its factorization.

684095760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 684095760 is about 26155.2243347290. The cubic root of 684095760 is about 881.1279269569.

The spelling of 684095760 in words is "six hundred eighty-four million, ninety-five thousand, seven hundred sixty".