688294152 has 384 divisors, whose sum is σ = 2509113600. Its totient is φ = 170201088.

The previous prime is 688294129. The next prime is 688294157. The reversal of 688294152 is 251492886.

It is a junction number, because it is equal to n+sod(n) for n = 688294098 and 688294107.

It is not an unprimeable number, because it can be changed into a prime (688294157) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7095768 + ... + 7095864.

It is an arithmetic number, because the mean of its divisors is an integer number (6534150).

Almost surely, 2^688294152 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 688294152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254556800).

688294152 is an abundant number, since it is smaller than the sum of its proper divisors (1820819448).

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

688294152 is a wasteful number, since it uses less digits than its factorization.

688294152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 141 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 688294152 is about 26235.3607179318. The cubic root of 688294152 is about 882.9267873907.

The spelling of 688294152 in words is "six hundred eighty-eight million, two hundred ninety-four thousand, one hundred fifty-two".