8172090 has 112 divisors (see below), whose sum is σ = 23608800. Its totient is φ = 2029536.

The previous prime is 8172089. The next prime is 8172091. The reversal of 8172090 is 902718.

It is an interprime number because it is at equal distance from previous prime (8172089) and next prime (8172091).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (8172091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 138481 + ... + 138539.

Almost surely, 2^8172090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8172090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11804400).

8172090 is an abundant number, since it is smaller than the sum of its proper divisors (15436710).

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

8172090 is a wasteful number, since it uses less digits than its factorization.

8172090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 8172090 is about 2858.6867614343. The cubic root of 8172090 is about 201.4239215120.

It can be divided in two parts, 81720 and 90, that added together give a triangular number (81810 = T₄₀₄).

The spelling of 8172090 in words is "eight million, one hundred seventy-two thousand, ninety".