688366080 has 320 divisors, whose sum is σ = 2557336320. Its totient is φ = 175177728.

The previous prime is 688366079. The next prime is 688366099. The reversal of 688366080 is 80663886.

688366080 is a `hidden beast` number, since 6 + 8 + 8 + 36 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1589544 + ... + 1589976.

It is an arithmetic number, because the mean of its divisors is an integer number (7991676).

Almost surely, 2^688366080 is an apocalyptic number.

688366080 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 688366080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278668160).

688366080 is an abundant number, since it is smaller than the sum of its proper divisors (1868970240).

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

688366080 is a wasteful number, since it uses less digits than its factorization.

688366080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 688366080 is about 26236.7315037525. The cubic root of 688366080 is about 882.9575421417.

The spelling of 688366080 in words is "six hundred eighty-eight million, three hundred sixty-six thousand, eighty".