688376472 has 64 divisors (see below), whose sum is σ = 1971540480. Its totient is φ = 196204032.

The previous prime is 688376471. The next prime is 688376489. The reversal of 688376472 is 274673886.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688376471) 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 15 ways as a sum of consecutive naturals, for example, 68013 + ... + 77475.

It is an arithmetic number, because the mean of its divisors is an integer number (30805320).

Almost surely, 2^688376472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 688376472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985770240).

688376472 is an abundant number, since it is smaller than the sum of its proper divisors (1283164008).

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

688376472 is a wasteful number, since it uses less digits than its factorization.

688376472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9912 (or 9908 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 51.

The square root of 688376472 is about 26236.9295459663. The cubic root of 688376472 is about 882.9619853437.

The spelling of 688376472 in words is "six hundred eighty-eight million, three hundred seventy-six thousand, four hundred seventy-two".