1350917568 has 672 divisors, whose sum is σ = 5448360960. Its totient is φ = 319334400.

The previous prime is 1350917567. The next prime is 1350917591. The reversal of 1350917568 is 8657190531.

It is a happy number.

1350917568 is a `hidden beast` number, since 13 + 509 + 1 + 75 + 68 = 666.

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

It is a super-3 number, since 3×1350917568³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1350917567) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19026973 + ... + 19027043.

It is an arithmetic number, because the mean of its divisors is an integer number (8107680).

Almost surely, 2^1350917568 is an apocalyptic number.

1350917568 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 1350917568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2724180480).

1350917568 is an abundant number, since it is smaller than the sum of its proper divisors (4097443392).

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

1350917568 is a wasteful number, since it uses less digits than its factorization.

1350917568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 1350917568 is about 36754.8305396719. The cubic root of 1350917568 is about 1105.4597891367.

The spelling of 1350917568 in words is "one billion, three hundred fifty million, nine hundred seventeen thousand, five hundred sixty-eight".