1006111656 has 48 divisors (see below), whose sum is σ = 2972604960. Its totient is φ = 304882080.

The previous prime is 1006111651. The next prime is 1006111661. The reversal of 1006111656 is 6561116001.

1006111656 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 1 + 1 + 1 + 656 = 666.

It is an interprime number because it is at equal distance from previous prime (1006111651) and next prime (1006111661).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1006111651) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 634380 + ... + 635963.

It is an arithmetic number, because the mean of its divisors is an integer number (61929270).

Almost surely, 2^1006111656 is an apocalyptic number.

It is an amenable number.

1006111656 is an abundant number, since it is smaller than the sum of its proper divisors (1966493304).

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

1006111656 is a wasteful number, since it uses less digits than its factorization.

1006111656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270366 (or 1270359 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 1006111656 is about 31719.2631692478. The cubic root of 1006111656 is about 1002.0330824413.

Adding to 1006111656 its reverse (6561116001), we get a palindrome (7567227657).

The spelling of 1006111656 in words is "one billion, six million, one hundred eleven thousand, six hundred fifty-six".