682249920 has 336 divisors, whose sum is σ = 2513210112. Its totient is φ = 155217920.

The previous prime is 682249913. The next prime is 682249921. The reversal of 682249920 is 29942286.

It is not an unprimeable number, because it can be changed into a prime (682249921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12872614 + ... + 12872666.

It is an arithmetic number, because the mean of its divisors is an integer number (7479792).

Almost surely, 2^682249920 is an apocalyptic number.

682249920 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 682249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256605056).

682249920 is an abundant number, since it is smaller than the sum of its proper divisors (1830960192).

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

682249920 is a wasteful number, since it uses less digits than its factorization.

682249920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 682249920 is about 26119.9142418194. The cubic root of 682249920 is about 880.3347211525.

The spelling of 682249920 in words is "six hundred eighty-two million, two hundred forty-nine thousand, nine hundred twenty".