688377504 has 48 divisors (see below), whose sum is σ = 1812954528. Its totient is φ = 228701952.

The previous prime is 688377499. The next prime is 688377509. The reversal of 688377504 is 405773886.

It is an interprime number because it is at equal distance from previous prime (688377499) and next prime (688377509).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (688377509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17794 + ... + 41150.

It is an arithmetic number, because the mean of its divisors is an integer number (37769886).

Almost surely, 2^688377504 is an apocalyptic number.

It is an amenable number.

688377504 is an abundant number, since it is smaller than the sum of its proper divisors (1124577024).

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

688377504 is a wasteful number, since it uses less digits than its factorization.

688377504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23677 (or 23669 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The square root of 688377504 is about 26236.9492128944. The cubic root of 688377504 is about 882.9624265830.

The spelling of 688377504 in words is "six hundred eighty-eight million, three hundred seventy-seven thousand, five hundred four".