688453920 has 432 divisors, whose sum is σ = 2984724288. Its totient is φ = 142894080.

The previous prime is 688453901. The next prime is 688454003. The reversal of 688453920 is 29354886.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 71 ways as a sum of consecutive naturals, for example, 775717 + ... + 776603.

It is an arithmetic number, because the mean of its divisors is an integer number (6909084).

Almost surely, 2^688453920 is an apocalyptic number.

688453920 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 688453920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492362144).

688453920 is an abundant number, since it is smaller than the sum of its proper divisors (2296270368).

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

688453920 is a wasteful number, since it uses less digits than its factorization.

688453920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 688453920 is about 26238.4054393555. The cubic root of 688453920 is about 882.9950975908.

The spelling of 688453920 in words is "six hundred eighty-eight million, four hundred fifty-three thousand, nine hundred twenty".