1223053984 has 96 divisors (see below), whose sum is σ = 2612736000. Its totient is φ = 561500160.

The previous prime is 1223053973. The next prime is 1223053987. The reversal of 1223053984 is 4893503221.

1223053984 = 201² + 202² + ... + 1543².

It is a super-2 number, since 2×1223053984² = 2991722095556544512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1223053987) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6403329 + ... + 6403519.

It is an arithmetic number, because the mean of its divisors is an integer number (27216000).

Almost surely, 2^1223053984 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 1223053984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306368000).

1223053984 is an abundant number, since it is smaller than the sum of its proper divisors (1389682016).

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

1223053984 is a wasteful number, since it uses less digits than its factorization.

1223053984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 1223053984 is about 34972.1887218973. The cubic root of 1223053984 is about 1069.4205917701.

The spelling of 1223053984 in words is "one billion, two hundred twenty-three million, fifty-three thousand, nine hundred eighty-four".