1065361920 has 480 divisors, whose sum is σ = 4198392000. Its totient is φ = 229146624.

The previous prime is 1065361907. The next prime is 1065361931. The reversal of 1065361920 is 291635601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×1065361920² = 2269992041172172800, which contains 22 as substring.

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, 7150006 + ... + 7150154.

It is an arithmetic number, because the mean of its divisors is an integer number (8746650).

Almost surely, 2^1065361920 is an apocalyptic number.

1065361920 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 1065361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2099196000).

1065361920 is an abundant number, since it is smaller than the sum of its proper divisors (3133030080).

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

1065361920 is a wasteful number, since it uses less digits than its factorization.

1065361920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 1065361920 is about 32639.8823527292. The cubic root of 1065361920 is about 1021.3291400152.

The spelling of 1065361920 in words is "one billion, sixty-five million, three hundred sixty-one thousand, nine hundred twenty".