1350296640 has 336 divisors, whose sum is σ = 5791443840. Its totient is φ = 280535040.

The previous prime is 1350296593. The next prime is 1350296641. The reversal of 1350296640 is 466920531.

It is a happy number.

1350296640 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 2 + 9 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1350296595 and 1350296604.

It is not an unprimeable number, because it can be changed into a prime (1350296641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 218716 + ... + 224804.

It is an arithmetic number, because the mean of its divisors is an integer number (17236440).

Almost surely, 2^1350296640 is an apocalyptic number.

1350296640 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 1350296640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2895721920).

1350296640 is an abundant number, since it is smaller than the sum of its proper divisors (4441147200).

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

1350296640 is a wasteful number, since it uses less digits than its factorization.

1350296640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6130 (or 6117 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1350296640 is about 36746.3826791155. The cubic root of 1350296640 is about 1105.2903941158.

The spelling of 1350296640 in words is "one billion, three hundred fifty million, two hundred ninety-six thousand, six hundred forty".