686527920 has 320 divisors, whose sum is σ = 2659829760. Its totient is φ = 161491968.

The previous prime is 686527913. The next prime is 686527927. The reversal of 686527920 is 29725686.

686527920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (686527913) and next prime (686527927).

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

It is not an unprimeable number, because it can be changed into a prime (686527927) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 645309 + ... + 646371.

It is an arithmetic number, because the mean of its divisors is an integer number (8311968).

Almost surely, 2^686527920 is an apocalyptic number.

686527920 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 686527920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329914880).

686527920 is an abundant number, since it is smaller than the sum of its proper divisors (1973301840).

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

686527920 is a wasteful number, since it uses less digits than its factorization.

686527920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 686527920 is about 26201.6778088732. The cubic root of 686527920 is about 882.1709141686.

The spelling of 686527920 in words is "six hundred eighty-six million, five hundred twenty-seven thousand, nine hundred twenty".