1362288256 has 64 divisors (see below), whose sum is σ = 3160270080. Its totient is φ = 572802048.

The previous prime is 1362288199. The next prime is 1362288269. The reversal of 1362288256 is 6528822631.

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

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, 33145 + ... + 61831.

It is an arithmetic number, because the mean of its divisors is an integer number (49379220).

Almost surely, 2^1362288256 is an apocalyptic number.

1362288256 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 1362288256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580135040).

1362288256 is an abundant number, since it is smaller than the sum of its proper divisors (1797981824).

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

1362288256 is an equidigital number, since it uses as much as digits as its factorization.

1362288256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28761 (or 28749 counting only the distinct ones).

The product of its digits is 276480, while the sum is 43.

The square root of 1362288256 is about 36909.1893164832. The cubic root of 1362288256 is about 1108.5526833851.

The spelling of 1362288256 in words is "one billion, three hundred sixty-two million, two hundred eighty-eight thousand, two hundred fifty-six".