1066815360 has 320 divisors, whose sum is σ = 4105442880. Its totient is φ = 262434816.

The previous prime is 1066815349. The next prime is 1066815361. The reversal of 1066815360 is 635186601.

It is a happy number.

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

It is a super-2 number, since 2×1066815360² = 2276190024663859200, 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 not an unprimeable number, because it can be changed into a prime (1066815361) 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, 673129 + ... + 674711.

It is an arithmetic number, because the mean of its divisors is an integer number (12829509).

Almost surely, 2^1066815360 is an apocalyptic number.

1066815360 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 1066815360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2052721440).

1066815360 is an abundant number, since it is smaller than the sum of its proper divisors (3038627520).

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

1066815360 is a wasteful number, since it uses less digits than its factorization.

1066815360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1066815360 is about 32662.1395502499. The cubic root of 1066815360 is about 1021.7933847787.

The spelling of 1066815360 in words is "one billion, sixty-six million, eight hundred fifteen thousand, three hundred sixty".