688271040 has 224 divisors, whose sum is σ = 2494848960. Its totient is φ = 178495488.

The previous prime is 688271033. The next prime is 688271047. The reversal of 688271040 is 40172886.

It is an interprime number because it is at equal distance from previous prime (688271033) and next prime (688271047).

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

It is a junction number, because it is equal to n+sod(n) for n = 688270986 and 688271004.

It is not an unprimeable number, because it can be changed into a prime (688271047) by changing a digit.

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, 318604 + ... + 320756.

Almost surely, 2^688271040 is an apocalyptic number.

688271040 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 688271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247424480).

688271040 is an abundant number, since it is smaller than the sum of its proper divisors (1806577920).

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

688271040 is a wasteful number, since it uses less digits than its factorization.

688271040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2216 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 688271040 is about 26234.9202400160. The cubic root of 688271040 is about 882.9169047786.

The spelling of 688271040 in words is "six hundred eighty-eight million, two hundred seventy-one thousand, forty".