688002420 has 96 divisors (see below), whose sum is σ = 2261161728. Its totient is φ = 153004032.

The previous prime is 688002401. The next prime is 688002503. The reversal of 688002420 is 24200886.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6597 + ... + 37676.

It is an arithmetic number, because the mean of its divisors is an integer number (23553768).

Almost surely, 2^688002420 is an apocalyptic number.

688002420 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 688002420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130580864).

688002420 is an abundant number, since it is smaller than the sum of its proper divisors (1573159308).

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

688002420 is a wasteful number, since it uses less digits than its factorization.

688002420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44329 (or 44327 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 688002420 is about 26229.8002279850. The cubic root of 688002420 is about 882.8020275543.

The spelling of 688002420 in words is "six hundred eighty-eight million, two thousand, four hundred twenty".