681268224 has 176 divisors, whose sum is σ = 2235782528. Its totient is φ = 179601408.

The previous prime is 681268219. The next prime is 681268249. The reversal of 681268224 is 422862186.

It is a super-2 number, since 2×681268224² = 928252786064228352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 278334 + ... + 280770.

Almost surely, 2^681268224 is an apocalyptic number.

681268224 is a gapful number since it is divisible by the number (64) 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 681268224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117891264).

681268224 is an abundant number, since it is smaller than the sum of its proper divisors (1554514304).

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

681268224 is a wasteful number, since it uses less digits than its factorization.

681268224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2480 (or 2462 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 681268224 is about 26101.1153784661. The cubic root of 681268224 is about 879.9122777571.

The spelling of 681268224 in words is "six hundred eighty-one million, two hundred sixty-eight thousand, two hundred twenty-four".