1350610560 has 384 divisors, whose sum is σ = 5323041360. Its totient is φ = 312606720.

The previous prime is 1350610553. The next prime is 1350610571. The reversal of 1350610560 is 650160531.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 624200256 + 726410304 = 24984^2 + 26952^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1272430 + ... + 1273490.

Almost surely, 2^1350610560 is an apocalyptic number.

1350610560 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 1350610560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2661520680).

1350610560 is an abundant number, since it is smaller than the sum of its proper divisors (3972430800).

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

1350610560 is a wasteful number, since it uses less digits than its factorization.

1350610560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 1350610560 is about 36750.6538717340. The cubic root of 1350610560 is about 1105.3760409446.

The spelling of 1350610560 in words is "one billion, three hundred fifty million, six hundred ten thousand, five hundred sixty".