1363272560 has 80 divisors (see below), whose sum is σ = 3561897024. Its totient is φ = 481468416.

The previous prime is 1363272497. The next prime is 1363272563. The reversal of 1363272560 is 652723631.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 1363272560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1363272563) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4577 + ... + 52416.

Almost surely, 2^1363272560 is an apocalyptic number.

1363272560 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 1363272560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780948512).

1363272560 is an abundant number, since it is smaller than the sum of its proper divisors (2198624464).

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

1363272560 is a wasteful number, since it uses less digits than its factorization.

1363272560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57042 (or 57036 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 35.

The square root of 1363272560 is about 36922.5210406873. The cubic root of 1363272560 is about 1108.8196093071.

The spelling of 1363272560 in words is "one billion, three hundred sixty-three million, two hundred seventy-two thousand, five hundred sixty".