1006172000 has 48 divisors (see below), whose sum is σ = 2472174432. Its totient is φ = 402467200.

The previous prime is 1006171997. The next prime is 1006172009. The reversal of 1006172000 is 2716001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1006172000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006172009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121772 + ... + 129771.

It is an arithmetic number, because the mean of its divisors is an integer number (51503634).

Almost surely, 2^1006172000 is an apocalyptic number.

1006172000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006172000 is an abundant number, since it is smaller than the sum of its proper divisors (1466002432).

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

1006172000 is an equidigital number, since it uses as much as digits as its factorization.

1006172000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251568 (or 251550 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 1006172000 is about 31720.2143750637. The cubic root of 1006172000 is about 1002.0531151666.

Adding to 1006172000 its reverse (2716001), we get a palindrome (1008888001).

The spelling of 1006172000 in words is "one billion, six million, one hundred seventy-two thousand".