1356226560 has 336 divisors, whose sum is σ = 5080827024. Its totient is φ = 332660736.

The previous prime is 1356226541. The next prime is 1356226567. The reversal of 1356226560 is 656226531.

It is a happy number.

1356226560 is a `hidden beast` number, since 1 + 35 + 62 + 2 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1356226567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4792179 + ... + 4792461.

It is an arithmetic number, because the mean of its divisors is an integer number (15121509).

Almost surely, 2^1356226560 is an apocalyptic number.

1356226560 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 1356226560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540413512).

1356226560 is an abundant number, since it is smaller than the sum of its proper divisors (3724600464).

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

1356226560 is a wasteful number, since it uses less digits than its factorization.

1356226560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 1356226560 is about 36826.9814130890. The cubic root of 1356226560 is about 1106.9060174862.

The spelling of 1356226560 in words is "one billion, three hundred fifty-six million, two hundred twenty-six thousand, five hundred sixty".