688020480 has 528 divisors, whose sum is σ = 2861214720. Its totient is φ = 155271168.

The previous prime is 688020469. The next prime is 688020497. The reversal of 688020480 is 84020886.

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 47 ways as a sum of consecutive naturals, for example, 8709081 + ... + 8709159.

Almost surely, 2^688020480 is an apocalyptic number.

688020480 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 688020480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430607360).

688020480 is an abundant number, since it is smaller than the sum of its proper divisors (2173194240).

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

688020480 is an equidigital number, since it uses as much as digits as its factorization.

688020480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 688020480 is about 26230.1444906428. The cubic root of 688020480 is about 882.8097519772.

The spelling of 688020480 in words is "six hundred eighty-eight million, twenty thousand, four hundred eighty".