682939920 has 320 divisors, whose sum is σ = 2463842304. Its totient is φ = 155105280.

The previous prime is 682939919. The next prime is 682939921. The reversal of 682939920 is 29939286.

It is an interprime number because it is at equal distance from previous prime (682939919) and next prime (682939921).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 682939920.

It is not an unprimeable number, because it can be changed into a prime (682939921) 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, 2224407 + ... + 2224713.

Almost surely, 2^682939920 is an apocalyptic number.

682939920 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 682939920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231921152).

682939920 is an abundant number, since it is smaller than the sum of its proper divisors (1780902384).

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

682939920 is a wasteful number, since it uses less digits than its factorization.

682939920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The square root of 682939920 is about 26133.1192168099. The cubic root of 682939920 is about 880.6313994800.

The spelling of 682939920 in words is "six hundred eighty-two million, nine hundred thirty-nine thousand, nine hundred twenty".