1006065672 has 16 divisors (see below), whose sum is σ = 2515164240. Its totient is φ = 335355216.

The previous prime is 1006065647. The next prime is 1006065689. The reversal of 1006065672 is 2765606001.

It is a super-3 number, since 3×1006065672³ (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20959678 + ... + 20959725.

It is an arithmetic number, because the mean of its divisors is an integer number (157197765).

Almost surely, 2^1006065672 is an apocalyptic number.

1006065672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1006065672 is an abundant number, since it is smaller than the sum of its proper divisors (1509098568).

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

1006065672 is a wasteful number, since it uses less digits than its factorization.

1006065672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41919412 (or 41919408 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 1006065672 is about 31718.5383017566. The cubic root of 1006065672 is about 1002.0178163453.

The spelling of 1006065672 in words is "one billion, six million, sixty-five thousand, six hundred seventy-two".