1066968000 has 672 divisors, whose sum is σ = 4574194560. Its totient is φ = 232243200.

The previous prime is 1066967983. The next prime is 1066968011. The reversal of 1066968000 is 8696601.

1066968000 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 (672).

It is a super-2 number, since 2×1066968000² = 2276841426048000000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14615964 + ... + 14616036.

Almost surely, 2^1066968000 is an apocalyptic number.

1066968000 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 1066968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2287097280).

1066968000 is an abundant number, since it is smaller than the sum of its proper divisors (3507226560).

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

1066968000 is a wasteful number, since it uses less digits than its factorization.

1066968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1066968000 is about 32664.4761170296. The cubic root of 1066968000 is about 1021.8421152058.

The spelling of 1066968000 in words is "one billion, sixty-six million, nine hundred sixty-eight thousand".