1067041872 has 60 divisors (see below), whose sum is σ = 3215951284. Its totient is φ = 328320000.

The previous prime is 1067041831. The next prime is 1067041883. The reversal of 1067041872 is 2781407601.

1067041872 is a `hidden beast` number, since 106 + 70 + 418 + 72 = 666.

1067041872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 150405696 + 916636176 = 12264^2 + 30276^2 .

It is a super-2 number, since 2×1067041872² = 2277156713202528768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 283129 + ... + 286872.

Almost surely, 2^1067041872 is an apocalyptic number.

1067041872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1067041872 is an abundant number, since it is smaller than the sum of its proper divisors (2148909412).

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

1067041872 is a wasteful number, since it uses less digits than its factorization.

1067041872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570028 (or 570019 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 1067041872 is about 32665.6068671623. The cubic root of 1067041872 is about 1021.8656972247.

The spelling of 1067041872 in words is "one billion, sixty-seven million, forty-one thousand, eight hundred seventy-two".