687869280 has 576 divisors, whose sum is σ = 2943198720. Its totient is φ = 146893824.

The previous prime is 687869269. The next prime is 687869297. The reversal of 687869280 is 82968786.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15996939 + ... + 15996981.

It is an arithmetic number, because the mean of its divisors is an integer number (5109720).

Almost surely, 2^687869280 is an apocalyptic number.

687869280 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 687869280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471599360).

687869280 is an abundant number, since it is smaller than the sum of its proper divisors (2255329440).

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

687869280 is a wasteful number, since it uses less digits than its factorization.

687869280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 687869280 is about 26227.2621521958. The cubic root of 687869280 is about 882.7450782175.

The spelling of 687869280 in words is "six hundred eighty-seven million, eight hundred sixty-nine thousand, two hundred eighty".