1223959680 has 256 divisors, whose sum is σ = 4369190400. Its totient is φ = 323813376.

The previous prime is 1223959637. The next prime is 1223959691. The reversal of 1223959680 is 869593221.

1223959680 is a `hidden beast` number, since 1 + 22 + 39 + 596 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3334857 + ... + 3335223.

It is an arithmetic number, because the mean of its divisors is an integer number (17067150).

Almost surely, 2^1223959680 is an apocalyptic number.

1223959680 is a gapful number since it is divisible by the number (10) 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 1223959680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2184595200).

1223959680 is an abundant number, since it is smaller than the sum of its proper divisors (3145230720).

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

1223959680 is a wasteful number, since it uses less digits than its factorization.

1223959680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 1223959680 is about 34985.1351290802. The cubic root of 1223959680 is about 1069.6845024346.

The spelling of 1223959680 in words is "one billion, two hundred twenty-three million, nine hundred fifty-nine thousand, six hundred eighty".