688474080 has 240 divisors, whose sum is σ = 2777211360. Its totient is φ = 157344768.

The previous prime is 688474079. The next prime is 688474097. The reversal of 688474080 is 80474886.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 86926 + ... + 94514.

It is an arithmetic number, because the mean of its divisors is an integer number (11571714).

Almost surely, 2^688474080 is an apocalyptic number.

688474080 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 688474080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388605680).

688474080 is an abundant number, since it is smaller than the sum of its proper divisors (2088737280).

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

688474080 is a wasteful number, since it uses less digits than its factorization.

688474080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7623 (or 7606 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 688474080 is about 26238.7896062299. The cubic root of 688474080 is about 883.0037164234.

It can be divided in two parts, 68847 and 4080, that added together give a palindrome (72927).

The spelling of 688474080 in words is "six hundred eighty-eight million, four hundred seventy-four thousand, eighty".