1223408672 has 72 divisors (see below), whose sum is σ = 2573436096. Its totient is φ = 572392448.

The previous prime is 1223408647. The next prime is 1223408687. The reversal of 1223408672 is 2768043221.

It is a super-3 number, since 3×1223408672³ (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2431973 + ... + 2432475.

It is an arithmetic number, because the mean of its divisors is an integer number (35742168).

Almost surely, 2^1223408672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1223408672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286718048).

1223408672 is an abundant number, since it is smaller than the sum of its proper divisors (1350027424).

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

1223408672 is a wasteful number, since it uses less digits than its factorization.

1223408672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 1223408672 is about 34977.2593551868. The cubic root of 1223408672 is about 1069.5239597857.

The spelling of 1223408672 in words is "one billion, two hundred twenty-three million, four hundred eight thousand, six hundred seventy-two".