1006685172 has 30 divisors (see below), whose sum is σ = 2631674738. Its totient is φ = 335561616.

The previous prime is 1006685131. The next prime is 1006685201. The reversal of 1006685172 is 2715866001.

It can be written as a sum of positive squares in only one way, i.e., 541679076 + 465006096 = 23274^2 + 21564^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1553203 + ... + 1553850.

Almost surely, 2^1006685172 is an apocalyptic number.

1006685172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1006685172 is an abundant number, since it is smaller than the sum of its proper divisors (1624989566).

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

1006685172 is a wasteful number, since it uses less digits than its factorization.

1006685172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3107069 (or 3107058 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1006685172 is about 31728.3023813125. The cubic root of 1006685172 is about 1002.2234433025.

The spelling of 1006685172 in words is "one billion, six million, six hundred eighty-five thousand, one hundred seventy-two".