686657088 has 280 divisors, whose sum is σ = 2292510528. Its totient is φ = 201636864.

The previous prime is 686657087. The next prime is 686657107. The reversal of 686657088 is 880756686.

686657088 is a `hidden beast` number, since 6 + 8 + 66 + 570 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (686657087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1549795 + ... + 1550237.

Almost surely, 2^686657088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 686657088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146255264).

686657088 is an abundant number, since it is smaller than the sum of its proper divisors (1605853440).

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

686657088 is a wasteful number, since it uses less digits than its factorization.

686657088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The square root of 686657088 is about 26204.1425732650. The cubic root of 686657088 is about 882.2262365639.

The spelling of 686657088 in words is "six hundred eighty-six million, six hundred fifty-seven thousand, eighty-eight".