1364642560 has 144 divisors (see below), whose sum is σ = 3425335200. Its totient is φ = 520224768.

The previous prime is 1364642467. The next prime is 1364642561. The reversal of 1364642560 is 652464631.

It is not an unprimeable number, because it can be changed into a prime (1364642561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3600451 + ... + 3600829.

It is an arithmetic number, because the mean of its divisors is an integer number (23787050).

Almost surely, 2^1364642560 is an apocalyptic number.

1364642560 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 1364642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712667600).

1364642560 is an abundant number, since it is smaller than the sum of its proper divisors (2060692640).

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

1364642560 is an equidigital number, since it uses as much as digits as its factorization.

1364642560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The square root of 1364642560 is about 36941.0687446912. The cubic root of 1364642560 is about 1109.1909154160.

The spelling of 1364642560 in words is "one billion, three hundred sixty-four million, six hundred forty-two thousand, five hundred sixty".