688392648 has 128 divisors (see below), whose sum is σ = 2047680000. Its totient is φ = 213627456.

The previous prime is 688392637. The next prime is 688392697. The reversal of 688392648 is 846293886.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a junction number, because it is equal to n+sod(n) for n = 688392594 and 688392603.

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, 240715 + ... + 243557.

It is an arithmetic number, because the mean of its divisors is an integer number (15997500).

Almost surely, 2^688392648 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 688392648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023840000).

688392648 is an abundant number, since it is smaller than the sum of its proper divisors (1359287352).

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

688392648 is a wasteful number, since it uses less digits than its factorization.

688392648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2936 (or 2926 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 688392648 is about 26237.2378119344. The cubic root of 688392648 is about 882.9689014629.

The spelling of 688392648 in words is "six hundred eighty-eight million, three hundred ninety-two thousand, six hundred forty-eight".