1359956640 has 192 divisors, whose sum is σ = 4935942144. Its totient is φ = 308302848.

The previous prime is 1359956629. The next prime is 1359956659. The reversal of 1359956640 is 466599531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1359956640.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 425127 + ... + 428313.

It is an arithmetic number, because the mean of its divisors is an integer number (25708032).

Almost surely, 2^1359956640 is an apocalyptic number.

1359956640 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 1359956640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2467971072).

1359956640 is an abundant number, since it is smaller than the sum of its proper divisors (3575985504).

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

1359956640 is a wasteful number, since it uses less digits than its factorization.

1359956640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3339 (or 3331 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 48.

The square root of 1359956640 is about 36877.5899429450. The cubic root of 1359956640 is about 1107.9198767364.

The spelling of 1359956640 in words is "one billion, three hundred fifty-nine million, nine hundred fifty-six thousand, six hundred forty".