687306240 has 240 divisors, whose sum is σ = 2485742688. Its totient is φ = 175177728.

The previous prime is 687306233. The next prime is 687306271. The reversal of 687306240 is 42603786.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 687306195 and 687306204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 529272 + ... + 530568.

Almost surely, 2^687306240 is an apocalyptic number.

687306240 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 687306240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242871344).

687306240 is an abundant number, since it is smaller than the sum of its proper divisors (1798436448).

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

687306240 is a wasteful number, since it uses less digits than its factorization.

687306240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 687306240 is about 26216.5260856583. The cubic root of 687306240 is about 882.5041620660.

The spelling of 687306240 in words is "six hundred eighty-seven million, three hundred six thousand, two hundred forty".