688343040 has 576 divisors, whose sum is σ = 3005009280. Its totient is φ = 141557760.

The previous prime is 688343023. The next prime is 688343041. The reversal of 688343040 is 40343886.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×688343040² = 947632281432883200, which contains 22 as substring.

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 = 688342986 and 688343004.

It is not an unprimeable number, because it can be changed into a prime (688343041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7096272 + ... + 7096368.

It is an arithmetic number, because the mean of its divisors is an integer number (5217030).

Almost surely, 2^688343040 is an apocalyptic number.

688343040 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 688343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502504640).

688343040 is an abundant number, since it is smaller than the sum of its proper divisors (2316666240).

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

688343040 is a wasteful number, since it uses less digits than its factorization.

688343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 688343040 is about 26236.2924209958. The cubic root of 688343040 is about 882.9476910032.

The spelling of 688343040 in words is "six hundred eighty-eight million, three hundred forty-three thousand, forty".