1320963072 has 352 divisors, whose sum is σ = 4313831424. Its totient is φ = 353894400.

The previous prime is 1320962987. The next prime is 1320963073. The reversal of 1320963072 is 2703690231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (1320963073) 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, 13618128 + ... + 13618224.

Almost surely, 2^1320963072 is an apocalyptic number.

1320963072 is a gapful number since it is divisible by the number (12) 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 1320963072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2156915712).

1320963072 is an abundant number, since it is smaller than the sum of its proper divisors (2992868352).

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

1320963072 is a wasteful number, since it uses less digits than its factorization.

1320963072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 1320963072 is about 36345.0556747407. The cubic root of 1320963072 is about 1097.2280266224.

The spelling of 1320963072 in words is "one billion, three hundred twenty million, nine hundred sixty-three thousand, seventy-two".