1065000960 has 336 divisors, whose sum is σ = 3864290976. Its totient is φ = 281346048.

The previous prime is 1065000941. The next prime is 1065000973. The reversal of 1065000960 is 690005601.

1065000960 is a `hidden beast` number, since 1 + 0 + 650 + 0 + 0 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×1065000960² = 2268454089601843200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9953227 + ... + 9953333.

It is an arithmetic number, because the mean of its divisors is an integer number (11500866).

Almost surely, 2^1065000960 is an apocalyptic number.

1065000960 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 1065000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1932145488).

1065000960 is an abundant number, since it is smaller than the sum of its proper divisors (2799290016).

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

1065000960 is an frugal number, since it uses more digits than its factorization.

1065000960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 1065000960 is about 32634.3524525920. The cubic root of 1065000960 is about 1021.2137799662.

The spelling of 1065000960 in words is "one billion, sixty-five million, nine hundred sixty", and thus it is an aban number.