682103520 has 288 divisors, whose sum is σ = 2716459200. Its totient is φ = 155796480.

The previous prime is 682103501. The next prime is 682103531. The reversal of 682103520 is 25301286.

It is a tau number, because it is divible by the number of its divisors (288).

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, 493230 + ... + 494610.

It is an arithmetic number, because the mean of its divisors is an integer number (9432150).

Almost surely, 2^682103520 is an apocalyptic number.

682103520 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 682103520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358229600).

682103520 is an abundant number, since it is smaller than the sum of its proper divisors (2034355680).

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

682103520 is a wasteful number, since it uses less digits than its factorization.

682103520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 682103520 is about 26117.1116320316. Note that the first 3 decimals coincide. The cubic root of 682103520 is about 880.2717480302.

The spelling of 682103520 in words is "six hundred eighty-two million, one hundred three thousand, five hundred twenty".