1066419360 has 288 divisors, whose sum is σ = 3773362320. Its totient is φ = 274120704.

The previous prime is 1066419353. The next prime is 1066419379. The reversal of 1066419360 is 639146601.

1066419360 is a `hidden beast` number, since 1 + 0 + 6 + 641 + 9 + 3 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 297355536 + 769063824 = 17244^2 + 27732^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1066419360² = 2274500502765619200, 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 47 ways as a sum of consecutive naturals, for example, 6792402 + ... + 6792558.

Almost surely, 2^1066419360 is an apocalyptic number.

1066419360 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 1066419360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886681160).

1066419360 is an abundant number, since it is smaller than the sum of its proper divisors (2706942960).

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

1066419360 is a wasteful number, since it uses less digits than its factorization.

1066419360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1066419360 is about 32656.0769229863. The cubic root of 1066419360 is about 1021.6669398250. Note that the first 3 decimals are identical.

The spelling of 1066419360 in words is "one billion, sixty-six million, four hundred nineteen thousand, three hundred sixty".