686202480 has 240 divisors, whose sum is σ = 2454366720. Its totient is φ = 171320832.

The previous prime is 686202479. The next prime is 686202521. The reversal of 686202480 is 84202686.

686202480 is a `hidden beast` number, since 6 + 8 + 620 + 24 + 8 + 0 = 666.

686202480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1408797 + ... + 1409283.

It is an arithmetic number, because the mean of its divisors is an integer number (10226528).

Almost surely, 2^686202480 is an apocalyptic number.

686202480 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 686202480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227183360).

686202480 is an abundant number, since it is smaller than the sum of its proper divisors (1768164240).

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

686202480 is a wasteful number, since it uses less digits than its factorization.

686202480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 686202480 is about 26195.4667833959. The cubic root of 686202480 is about 882.0314980961.

The spelling of 686202480 in words is "six hundred eighty-six million, two hundred two thousand, four hundred eighty".