1073956320 has 240 divisors, whose sum is σ = 3820037760. Its totient is φ = 284138496.

The previous prime is 1073956297. The next prime is 1073956327. The reversal of 1073956320 is 236593701.

1073956320 is a `hidden beast` number, since 1 + 0 + 73 + 9 + 563 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1073956327) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2241841 + ... + 2242319.

It is an arithmetic number, because the mean of its divisors is an integer number (15916824).

Almost surely, 2^1073956320 is an apocalyptic number.

1073956320 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 1073956320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1910018880).

1073956320 is an abundant number, since it is smaller than the sum of its proper divisors (2746081440).

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

1073956320 is a wasteful number, since it uses less digits than its factorization.

1073956320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 1073956320 is about 32771.2727857799. The cubic root of 1073956320 is about 1024.0681819021.

The spelling of 1073956320 in words is "one billion, seventy-three million, nine hundred fifty-six thousand, three hundred twenty".