688376948 has 48 divisors (see below), whose sum is σ = 1444574208. Its totient is φ = 280800000.

The previous prime is 688376947. The next prime is 688376963. The reversal of 688376948 is 849673886.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688376947) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46448 + ... + 59448.

It is an arithmetic number, because the mean of its divisors is an integer number (30095296).

Almost surely, 2^688376948 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 688376948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722287104).

688376948 is an abundant number, since it is smaller than the sum of its proper divisors (756197260).

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

688376948 is a wasteful number, since it uses less digits than its factorization.

688376948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13104 (or 13102 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 59.

The square root of 688376948 is about 26236.9386171482. The cubic root of 688376948 is about 882.9621888611.

The spelling of 688376948 in words is "six hundred eighty-eight million, three hundred seventy-six thousand, nine hundred forty-eight".