1006655772 has 24 divisors (see below), whose sum is σ = 2429859600. Its totient is φ = 323981056.

The previous prime is 1006655761. The next prime is 1006655773. The reversal of 1006655772 is 2775566001.

It is a self number, because there is not a number n which added to its sum of digits gives 1006655772.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006655773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1445997 + ... + 1446692.

It is an arithmetic number, because the mean of its divisors is an integer number (101244150).

Almost surely, 2^1006655772 is an apocalyptic number.

1006655772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1006655772 is an abundant number, since it is smaller than the sum of its proper divisors (1423203828).

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

1006655772 is a wasteful number, since it uses less digits than its factorization.

1006655772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2892725 (or 2892723 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The square root of 1006655772 is about 31727.8390691834. The cubic root of 1006655772 is about 1002.2136866421.

The spelling of 1006655772 in words is "one billion, six million, six hundred fifty-five thousand, seven hundred seventy-two".