684226440 has 160 divisors (see below), whose sum is σ = 2312513280. Its totient is φ = 181450368.

The previous prime is 684226429. The next prime is 684226441. The reversal of 684226440 is 44622486.

It is a happy number.

684226440 is a `hidden beast` number, since 6 + 8 + 4 + 2 + 2 + 644 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 684226395 and 684226404.

It is not an unprimeable number, because it can be changed into a prime (684226441) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 722047 + ... + 722993.

It is an arithmetic number, because the mean of its divisors is an integer number (14453208).

Almost surely, 2^684226440 is an apocalyptic number.

684226440 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 684226440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156256640).

684226440 is an abundant number, since it is smaller than the sum of its proper divisors (1628286840).

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

684226440 is a wasteful number, since it uses less digits than its factorization.

684226440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 684226440 is about 26157.7223779136. The cubic root of 684226440 is about 881.1840294663.

The spelling of 684226440 in words is "six hundred eighty-four million, two hundred twenty-six thousand, four hundred forty".