1006879881 has 24 divisors (see below), whose sum is σ = 1565603040. Its totient is φ = 573918912.

The previous prime is 1006879843. The next prime is 1006879891. The reversal of 1006879881 is 1889786001.

It is not a de Polignac number, because 1006879881 - 2⁶ = 1006879817 is a prime.

It is a super-2 number, since 2×1006879881² = 2027614189525148322, which contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1006879881.

It is not an unprimeable number, because it can be changed into a prime (1006879801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51750 + ... + 68496.

It is an arithmetic number, because the mean of its divisors is an integer number (65233460).

Almost surely, 2^1006879881 is an apocalyptic number.

It is an amenable number.

1006879881 is a deficient number, since it is larger than the sum of its proper divisors (558723159).

1006879881 is a wasteful number, since it uses less digits than its factorization.

1006879881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17173 (or 17166 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 48.

The square root of 1006879881 is about 31731.3706133221. The cubic root of 1006879881 is about 1002.2880544806.

The spelling of 1006879881 in words is "one billion, six million, eight hundred seventy-nine thousand, eight hundred eighty-one".