1065612000 has 96 divisors (see below), whose sum is σ = 3490984224. Its totient is φ = 284160000.

The previous prime is 1065611971. The next prime is 1065612001. The reversal of 1065612000 is 2165601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1065612000² = 2271057869088000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1065612001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32401 + ... + 56400.

It is an arithmetic number, because the mean of its divisors is an integer number (36364419).

Almost surely, 2^1065612000 is an apocalyptic number.

1065612000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1065612000 is an abundant number, since it is smaller than the sum of its proper divisors (2425372224).

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

1065612000 is an equidigital number, since it uses as much as digits as its factorization.

1065612000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88829 (or 88811 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 1065612000 is about 32643.7130241031. The cubic root of 1065612000 is about 1021.4090483869.

Adding to 1065612000 its reverse (2165601), we get a palindrome (1067777601).

The spelling of 1065612000 in words is "one billion, sixty-five million, six hundred twelve thousand".