1061267120 has 40 divisors (see below), whose sum is σ = 2474581200. Its totient is φ = 423279360.

The previous prime is 1061267117. The next prime is 1061267147. The reversal of 1061267120 is 217621601.

1061267120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1061267120² = 2252575799986188800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1061267120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8915 + ... + 46925.

It is an arithmetic number, because the mean of its divisors is an integer number (61864530).

Almost surely, 2^1061267120 is an apocalyptic number.

1061267120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1061267120 is an abundant number, since it is smaller than the sum of its proper divisors (1413314080).

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

1061267120 is a wasteful number, since it uses less digits than its factorization.

1061267120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38373 (or 38367 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 1061267120 is about 32577.0950208885. The cubic root of 1061267120 is about 1020.0189410811.

Adding to 1061267120 its reverse (217621601), we get a palindrome (1278888721).

The spelling of 1061267120 in words is "one billion, sixty-one million, two hundred sixty-seven thousand, one hundred twenty".