1066296960 has 320 divisors, whose sum is σ = 3877362720. Its totient is φ = 279189504.

The previous prime is 1066296941. The next prime is 1066296989. The reversal of 1066296960 is 696926601.

1066296960 is a `hidden beast` number, since 10 + 6 + 629 + 6 + 9 + 6 + 0 = 666.

1066296960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×1066296960² = 2273978413810483200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3473127 + ... + 3473433.

Almost surely, 2^1066296960 is an apocalyptic number.

1066296960 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 1066296960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1938681360).

1066296960 is an abundant number, since it is smaller than the sum of its proper divisors (2811065760).

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

1066296960 is an equidigital number, since it uses as much as digits as its factorization.

1066296960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 1066296960 is about 32654.2027922900. The cubic root of 1066296960 is about 1021.6278505064.

The spelling of 1066296960 in words is "one billion, sixty-six million, two hundred ninety-six thousand, nine hundred sixty".