1340563968 has 240 divisors, whose sum is σ = 4160459160. Its totient is φ = 414056448.

The previous prime is 1340563949. The next prime is 1340563979. The reversal of 1340563968 is 8693650431.

1340563968 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 5 + 639 + 6 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1258262784 + 82301184 = 35472^2 + 9072^2 .

It is a super-2 number, since 2×1340563968² = 3594223504599810048, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8538546 + ... + 8538702.

Almost surely, 2^1340563968 is an apocalyptic number.

1340563968 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 1340563968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2080229580).

1340563968 is an abundant number, since it is smaller than the sum of its proper divisors (2819895192).

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

1340563968 is a wasteful number, since it uses less digits than its factorization.

1340563968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 1340563968 is about 36613.7128409562. The cubic root of 1340563968 is about 1102.6284164053.

The spelling of 1340563968 in words is "one billion, three hundred forty million, five hundred sixty-three thousand, nine hundred sixty-eight".