1350564600 has 768 divisors, whose sum is σ = 5759631360. Its totient is φ = 253440000.

The previous prime is 1350564563. The next prime is 1350564601. The reversal of 1350564600 is 64650531.

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 (1350564601) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 32940580 + ... + 32940620.

It is an arithmetic number, because the mean of its divisors is an integer number (7499520).

Almost surely, 2^1350564600 is an apocalyptic number.

1350564600 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 1350564600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2879815680).

1350564600 is an abundant number, since it is smaller than the sum of its proper divisors (4409066760).

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

1350564600 is a wasteful number, since it uses less digits than its factorization.

1350564600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 1350564600 is about 36750.0285714175. The cubic root of 1350564600 is about 1105.3635025020.

It can be divided in two parts, 135056 and 4600, that added together give a triangular number (139656 = T₅₂₈).

The spelling of 1350564600 in words is "one billion, three hundred fifty million, five hundred sixty-four thousand, six hundred".