1395733560 has 128 divisors (see below), whose sum is σ = 4614382080. Its totient is φ = 335559168.

The previous prime is 1395733543. The next prime is 1395733583. The reversal of 1395733560 is 653375931.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 56677 + ... + 77483.

It is an arithmetic number, because the mean of its divisors is an integer number (36049860).

Almost surely, 2^1395733560 is an apocalyptic number.

1395733560 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 1395733560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2307191040).

1395733560 is an abundant number, since it is smaller than the sum of its proper divisors (3218648520).

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

1395733560 is a wasteful number, since it uses less digits than its factorization.

1395733560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20877 (or 20873 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 42.

The square root of 1395733560 is about 37359.5176628393. The cubic root of 1395733560 is about 1117.5514002252.

The spelling of 1395733560 in words is "one billion, three hundred ninety-five million, seven hundred thirty-three thousand, five hundred sixty".