687018240 has 288 divisors, whose sum is σ = 2474384640. Its totient is φ = 180486144.

The previous prime is 687018239. The next prime is 687018253. The reversal of 687018240 is 42810786.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 687018195 and 687018204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3559584 + ... + 3559776.

Almost surely, 2^687018240 is an apocalyptic number.

687018240 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 687018240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237192320).

687018240 is an abundant number, since it is smaller than the sum of its proper divisors (1787366400).

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

687018240 is a wasteful number, since it uses less digits than its factorization.

687018240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 687018240 is about 26211.0327915555. The cubic root of 687018240 is about 882.3808804330.

The spelling of 687018240 in words is "six hundred eighty-seven million, eighteen thousand, two hundred forty".