688016120 has 64 divisors (see below), whose sum is σ = 1691504640. Its totient is φ = 249782400.

The previous prime is 688016117. The next prime is 688016123. The reversal of 688016120 is 21610886.

It is an interprime number because it is at equal distance from previous prime (688016117) and next prime (688016123).

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688016123) 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, 466985 + ... + 468455.

It is an arithmetic number, because the mean of its divisors is an integer number (26429760).

Almost surely, 2^688016120 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 688016120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845752320).

688016120 is an abundant number, since it is smaller than the sum of its proper divisors (1003488520).

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

688016120 is a wasteful number, since it uses less digits than its factorization.

688016120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2556 (or 2552 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 688016120 is about 26230.0613800273. The cubic root of 688016120 is about 882.8078871788.

The spelling of 688016120 in words is "six hundred eighty-eight million, sixteen thousand, one hundred twenty".