1006640172 has 72 divisors (see below), whose sum is σ = 2711794176. Its totient is φ = 314116704.

The previous prime is 1006640147. The next prime is 1006640177. The reversal of 1006640172 is 2710466001.

1006640172 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 640 + 17 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (1006640177) 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, 25983 + ... + 51849.

It is an arithmetic number, because the mean of its divisors is an integer number (37663808).

Almost surely, 2^1006640172 is an apocalyptic number.

1006640172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006640172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355897088).

1006640172 is an abundant number, since it is smaller than the sum of its proper divisors (1705154004).

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

1006640172 is a wasteful number, since it uses less digits than its factorization.

1006640172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25947 (or 25942 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1006640172 is about 31727.5932273471. The cubic root of 1006640172 is about 1002.2085095615.

The spelling of 1006640172 in words is "one billion, six million, six hundred forty thousand, one hundred seventy-two".