1073064960 has 528 divisors, whose sum is σ = 4253502240. Its totient is φ = 247726080.

The previous prime is 1073064947. The next prime is 1073064983. The reversal of 1073064960 is 694603701.

1073064960 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 0 + 649 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14699484 + ... + 14699556.

Almost surely, 2^1073064960 is an apocalyptic number.

1073064960 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 1073064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2126751120).

1073064960 is an abundant number, since it is smaller than the sum of its proper divisors (3180437280).

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

1073064960 is a wasteful number, since it uses less digits than its factorization.

1073064960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 1073064960 is about 32757.6702468292. The cubic root of 1073064960 is about 1023.7847855006.

The spelling of 1073064960 in words is "one billion, seventy-three million, sixty-four thousand, nine hundred sixty".