688552020 has 288 divisors, whose sum is σ = 2509678080. Its totient is φ = 150958080.

The previous prime is 688551953. The next prime is 688552043. The reversal of 688552020 is 20255886.

688552020 is a `hidden beast` number, since 6 + 88 + 552 + 0 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 755365 + ... + 756275.

It is an arithmetic number, because the mean of its divisors is an integer number (8714160).

Almost surely, 2^688552020 is an apocalyptic number.

688552020 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 688552020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254839040).

688552020 is an abundant number, since it is smaller than the sum of its proper divisors (1821126060).

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

688552020 is a wasteful number, since it uses less digits than its factorization.

688552020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 688552020 is about 26240.2747699028. The cubic root of 688552020 is about 883.0370358636.

The spelling of 688552020 in words is "six hundred eighty-eight million, five hundred fifty-two thousand, twenty".