1350364960 has 384 divisors, whose sum is σ = 4180377600. Its totient is φ = 401448960.

The previous prime is 1350364949. The next prime is 1350364963. The reversal of 1350364960 is 694630531.

It is not an unprimeable number, because it can be changed into a prime (1350364963) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15172596 + ... + 15172684.

It is an arithmetic number, because the mean of its divisors is an integer number (10886400).

Almost surely, 2^1350364960 is an apocalyptic number.

1350364960 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 1350364960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2090188800).

1350364960 is an abundant number, since it is smaller than the sum of its proper divisors (2830012640).

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

1350364960 is a wasteful number, since it uses less digits than its factorization.

1350364960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 37.

The square root of 1350364960 is about 36747.3122826691. The cubic root of 1350364960 is about 1105.3090349991.

The spelling of 1350364960 in words is "one billion, three hundred fifty million, three hundred sixty-four thousand, nine hundred sixty".