1358880768 has 168 divisors, whose sum is σ = 4487893488. Its totient is φ = 388104192.

The previous prime is 1358880767. The next prime is 1358880781. The reversal of 1358880768 is 8670888531.

It is a happy number.

It is a Cunningham number, because it is equal to 36863²-1.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1358880763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 514780 + ... + 517412.

Almost surely, 2^1358880768 is an apocalyptic number.

1358880768 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 1358880768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2243946744).

1358880768 is an abundant number, since it is smaller than the sum of its proper divisors (3129012720).

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

1358880768 is an equidigital number, since it uses as much as digits as its factorization.

1358880768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2672 (or 2645 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The square root of 1358880768 is about 36862.9999864363. Note that the first 4 decimals coincide. The cubic root of 1358880768 is about 1107.6276383898.

The spelling of 1358880768 in words is "one billion, three hundred fifty-eight million, eight hundred eighty thousand, seven hundred sixty-eight".