1359787968 has 672 divisors, whose sum is σ = 5355896832. Its totient is φ = 319334400.

The previous prime is 1359787967. The next prime is 1359788033. The reversal of 1359787968 is 8697879531.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (22861440) is a multiple of the sum of its prime divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1359787967) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 31622955 + ... + 31622997.

Almost surely, 2^1359787968 is an apocalyptic number.

1359787968 is a gapful number since it is divisible by the number (18) 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 1359787968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2677948416).

1359787968 is an abundant number, since it is smaller than the sum of its proper divisors (3996108864).

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

1359787968 is a wasteful number, since it uses less digits than its factorization.

1359787968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 120 counting only the distinct ones).

The product of its digits is 22861440, while the sum is 63.

The square root of 1359787968 is about 36875.3029546877. The cubic root of 1359787968 is about 1107.8740706712.

The spelling of 1359787968 in words is "one billion, three hundred fifty-nine million, seven hundred eighty-seven thousand, nine hundred sixty-eight".