687333360 has 320 divisors, whose sum is σ = 2612689920. Its totient is φ = 145981440.

The previous prime is 687333343. The next prime is 687333377. The reversal of 687333360 is 63333786.

It is an interprime number because it is at equal distance from previous prime (687333343) and next prime (687333377).

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, 1946944 + ... + 1947296.

It is an arithmetic number, because the mean of its divisors is an integer number (8164656).

Almost surely, 2^687333360 is an apocalyptic number.

687333360 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 687333360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306344960).

687333360 is an abundant number, since it is smaller than the sum of its proper divisors (1925356560).

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

687333360 is a wasteful number, since it uses less digits than its factorization.

687333360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 39.

The square root of 687333360 is about 26217.0433115559. The cubic root of 687333360 is about 882.5157693122.

The spelling of 687333360 in words is "six hundred eighty-seven million, three hundred thirty-three thousand, three hundred sixty".