688142016 has 84 divisors (see below), whose sum is σ = 2005965000. Its totient is φ = 225481728.

The previous prime is 688142003. The next prime is 688142017. The reversal of 688142016 is 610241886.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (688142017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23860 + ... + 44108.

Almost surely, 2^688142016 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 688142016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002982500).

688142016 is an abundant number, since it is smaller than the sum of its proper divisors (1317822984).

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

688142016 is a wasteful number, since it uses less digits than its factorization.

688142016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20326 (or 20313 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 688142016 is about 26232.4611121412. The cubic root of 688142016 is about 882.8617304925.

The spelling of 688142016 in words is "six hundred eighty-eight million, one hundred forty-two thousand, sixteen".