1224680688 has 240 divisors, whose sum is σ = 4417217280. Its totient is φ = 318003840.

The previous prime is 1224680671. The next prime is 1224680689. The reversal of 1224680688 is 8860864221.

1224680688 is a `hidden beast` number, since 122 + 468 + 0 + 68 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1224680689) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 364231 + ... + 367577.

It is an arithmetic number, because the mean of its divisors is an integer number (18405072).

Almost surely, 2^1224680688 is an apocalyptic number.

1224680688 is a gapful number since it is divisible by the number (18) 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 1224680688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2208608640).

1224680688 is an abundant number, since it is smaller than the sum of its proper divisors (3192536592).

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

1224680688 is a wasteful number, since it uses less digits than its factorization.

1224680688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3393 (or 3370 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 1224680688 is about 34995.4381027013. The cubic root of 1224680688 is about 1069.8945038215.

The spelling of 1224680688 in words is "one billion, two hundred twenty-four million, six hundred eighty thousand, six hundred eighty-eight".