682100640 has 288 divisors, whose sum is σ = 2542700160. Its totient is φ = 165500928.

The previous prime is 682100633. The next prime is 682100659. The reversal of 682100640 is 46001286.

682100640 is a `hidden beast` number, since 6 + 8 + 2 + 10 + 0 + 640 = 666.

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

It is a super-2 number, since 2×682100640² = 930522566176819200, which contains 22 as substring.

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, 1553541 + ... + 1553979.

It is an arithmetic number, because the mean of its divisors is an integer number (8828820).

Almost surely, 2^682100640 is an apocalyptic number.

682100640 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 682100640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271350080).

682100640 is an abundant number, since it is smaller than the sum of its proper divisors (1860599520).

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

682100640 is a wasteful number, since it uses less digits than its factorization.

682100640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 682100640 is about 26117.0564957079. The cubic root of 682100640 is about 880.2705091244.

The spelling of 682100640 in words is "six hundred eighty-two million, one hundred thousand, six hundred forty".