682369920 has 160 divisors (see below), whose sum is σ = 2437051320. Its totient is φ = 181951488.

The previous prime is 682369901. The next prime is 682369921. The reversal of 682369920 is 29963286.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (682369921) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 45259 + ... + 58421.

Almost surely, 2^682369920 is an apocalyptic number.

682369920 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 682369920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218525660).

682369920 is an abundant number, since it is smaller than the sum of its proper divisors (1754681400).

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

682369920 is a wasteful number, since it uses less digits than its factorization.

682369920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13194 (or 13173 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 682369920 is about 26122.2112387141. The cubic root of 682369920 is about 880.3863317478.

The spelling of 682369920 in words is "six hundred eighty-two million, three hundred sixty-nine thousand, nine hundred twenty".