1359408960 has 1008 divisors, whose sum is σ = 6358737600. Its totient is φ = 271724544.

The previous prime is 1359408929. The next prime is 1359408983. The reversal of 1359408960 is 698049531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 71547831 + ... + 71547849.

Almost surely, 2^1359408960 is an apocalyptic number.

1359408960 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 1359408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3179368800).

1359408960 is an abundant number, since it is smaller than the sum of its proper divisors (4999328640).

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

1359408960 is a wasteful number, since it uses less digits than its factorization.

1359408960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 1359408960 is about 36870.1635472369. The cubic root of 1359408960 is about 1107.7711300747.

It can be divided in two parts, 135 and 9408960, that multiplied together give a square (1270209600 = 35640²).

The spelling of 1359408960 in words is "one billion, three hundred fifty-nine million, four hundred eight thousand, nine hundred sixty".