1395996960 has 192 divisors, whose sum is σ = 4737761280. Its totient is φ = 344509440.

The previous prime is 1395996947. The next prime is 1395996971. The reversal of 1395996960 is 696995931.

It is a self number, because there is not a number n which added to its sum of digits gives 1395996960.

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, 340201 + ... + 344279.

It is an arithmetic number, because the mean of its divisors is an integer number (24675840).

Almost surely, 2^1395996960 is an apocalyptic number.

1395996960 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 1395996960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2368880640).

1395996960 is an abundant number, since it is smaller than the sum of its proper divisors (3341764320).

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

1395996960 is a wasteful number, since it uses less digits than its factorization.

1395996960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4151 (or 4143 counting only the distinct ones).

The product of its (nonzero) digits is 3542940, while the sum is 57.

The square root of 1395996960 is about 37363.0427026494. The cubic root of 1395996960 is about 1117.6216964795.

It can be divided in two parts, 1395996 and 960, that added together give a triangular number (1396956 = T₁₆₇₁).

The spelling of 1395996960 in words is "one billion, three hundred ninety-five million, nine hundred ninety-six thousand, nine hundred sixty".