687668580 has 72 divisors (see below), whose sum is σ = 2088321144. Its totient is φ = 183168000.

The previous prime is 687668543. The next prime is 687668617. The reversal of 687668580 is 85866786.

It is an interprime number because it is at equal distance from previous prime (687668543) and next prime (687668617).

It can be written as a sum of positive squares in 4 ways, for example, as 61968384 + 625700196 = 7872^2 + 25014^2 .

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, 214590 + ... + 217770.

Almost surely, 2^687668580 is an apocalyptic number.

687668580 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

687668580 is an abundant number, since it is smaller than the sum of its proper divisors (1400652564).

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

687668580 is a wasteful number, since it uses less digits than its factorization.

687668580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4397 (or 4392 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The square root of 687668580 is about 26223.4357016772. The cubic root of 687668580 is about 882.6592168599.

The spelling of 687668580 in words is "six hundred eighty-seven million, six hundred sixty-eight thousand, five hundred eighty".