1340290560 has 320 divisors, whose sum is σ = 4963825152. Its totient is φ = 302186496.

The previous prime is 1340290543. The next prime is 1340290561. The reversal of 1340290560 is 650920431.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×1340290560² = 3592757570450227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340290561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5752204 + ... + 5752436.

Almost surely, 2^1340290560 is an apocalyptic number.

1340290560 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 1340290560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2481912576).

1340290560 is an abundant number, since it is smaller than the sum of its proper divisors (3623534592).

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

1340290560 is a wasteful number, since it uses less digits than its factorization.

1340290560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 1340290560 is about 36609.9789674892. The cubic root of 1340290560 is about 1102.5534509593.

The spelling of 1340290560 in words is "one billion, three hundred forty million, two hundred ninety thousand, five hundred sixty".