1223584896 has 64 divisors (see below), whose sum is σ = 3254983200. Its totient is φ = 407255040.

The previous prime is 1223584867. The next prime is 1223584913. The reversal of 1223584896 is 6984853221.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 309460 + ... + 313388.

Almost surely, 2^1223584896 is an apocalyptic number.

1223584896 is a gapful number since it is divisible by the number (16) 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 1223584896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627491600).

1223584896 is an abundant number, since it is smaller than the sum of its proper divisors (2031398304).

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

1223584896 is an equidigital number, since it uses as much as digits as its factorization.

1223584896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4757 (or 4745 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The square root of 1223584896 is about 34979.7783869481. The cubic root of 1223584896 is about 1069.5753099589.

The spelling of 1223584896 in words is "one billion, two hundred twenty-three million, five hundred eighty-four thousand, eight hundred ninety-six".