1350693120 has 288 divisors, whose sum is σ = 4986051840. Its totient is φ = 305233920.

The previous prime is 1350693073. The next prime is 1350693121. The reversal of 1350693120 is 213960531.

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

It is not an unprimeable number, because it can be changed into a prime (1350693121) 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, 2929690 + ... + 2930150.

It is an arithmetic number, because the mean of its divisors is an integer number (17312680).

Almost surely, 2^1350693120 is an apocalyptic number.

1350693120 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 1350693120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2493025920).

1350693120 is an abundant number, since it is smaller than the sum of its proper divisors (3635358720).

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

1350693120 is a wasteful number, since it uses less digits than its factorization.

1350693120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 1350693120 is about 36751.7770998900. Note that the first 3 decimals coincide. The cubic root of 1350693120 is about 1105.3985635946.

The spelling of 1350693120 in words is "one billion, three hundred fifty million, six hundred ninety-three thousand, one hundred twenty".