1065076992 has 144 divisors (see below), whose sum is σ = 3599729280. Its totient is φ = 304293888.

The previous prime is 1065076949. The next prime is 1065076993. The reversal of 1065076992 is 2996705601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1065076992² = 2268777997775536128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1065076993) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37378 + ... + 59390.

It is an arithmetic number, because the mean of its divisors is an integer number (24998120).

Almost surely, 2^1065076992 is an apocalyptic number.

1065076992 is a gapful number since it is divisible by the number (12) 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 1065076992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799864640).

1065076992 is an abundant number, since it is smaller than the sum of its proper divisors (2534652288).

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

1065076992 is an equidigital number, since it uses as much as digits as its factorization.

1065076992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22045 (or 22025 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 1065076992 is about 32635.5173392425. The cubic root of 1065076992 is about 1021.2380813774.

The spelling of 1065076992 in words is "one billion, sixty-five million, seventy-six thousand, nine hundred ninety-two".