1301608224 has 384 divisors, whose sum is σ = 4683571200. Its totient is φ = 343388160.

The previous prime is 1301608223. The next prime is 1301608229. The reversal of 1301608224 is 4228061031.

1301608224 is a `hidden beast` number, since 1 + 30 + 1 + 608 + 2 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1301608223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5400744 + ... + 5400984.

It is an arithmetic number, because the mean of its divisors is an integer number (12196800).

Almost surely, 2^1301608224 is an apocalyptic number.

1301608224 is a gapful number since it is divisible by the number (14) 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 1301608224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2341785600).

1301608224 is an abundant number, since it is smaller than the sum of its proper divisors (3381962976).

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

1301608224 is a wasteful number, since it uses less digits than its factorization.

1301608224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1301608224 is about 36077.8079156703. The cubic root of 1301608224 is about 1091.8427499688.

Adding to 1301608224 its reverse (4228061031), we get a palindrome (5529669255).

It can be divided in two parts, 130160 and 8224, that added together give a square (138384 = 372²).

The spelling of 1301608224 in words is "one billion, three hundred one million, six hundred eight thousand, two hundred twenty-four".