682188480 has 336 divisors, whose sum is σ = 2520720384. Its totient is φ = 175426560.

The previous prime is 682188473. The next prime is 682188491. The reversal of 682188480 is 84881286.

It is a happy number.

It is a super-2 number, since 2×682188480² = 930762244489420800, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2410419 + ... + 2410701.

It is an arithmetic number, because the mean of its divisors is an integer number (7502144).

Almost surely, 2^682188480 is an apocalyptic number.

682188480 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 682188480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260360192).

682188480 is an abundant number, since it is smaller than the sum of its proper divisors (1838531904).

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

682188480 is a wasteful number, since it uses less digits than its factorization.

682188480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The square root of 682188480 is about 26118.7381012177. The cubic root of 682188480 is about 880.3082941852.

The spelling of 682188480 in words is "six hundred eighty-two million, one hundred eighty-eight thousand, four hundred eighty".