1296224160 has 384 divisors, whose sum is σ = 5392687104. Its totient is φ = 253378560.

The previous prime is 1296224147. The next prime is 1296224183. The reversal of 1296224160 is 614226921.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 627289 + ... + 629351.

It is an arithmetic number, because the mean of its divisors is an integer number (14043456).

Almost surely, 2^1296224160 is an apocalyptic number.

1296224160 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 1296224160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2696343552).

1296224160 is an abundant number, since it is smaller than the sum of its proper divisors (4096462944).

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

1296224160 is a wasteful number, since it uses less digits than its factorization.

1296224160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2116 (or 2108 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 1296224160 is about 36003.1131987221. The cubic root of 1296224160 is about 1090.3352109879.

It can be divided in two parts, 1296 and 224160, that added together give a triangular number (225456 = T₆₇₁).

The spelling of 1296224160 in words is "one billion, two hundred ninety-six million, two hundred twenty-four thousand, one hundred sixty".