164671040 has 56 divisors (see below), whose sum is σ = 393786360. Its totient is φ = 65589248.

The previous prime is 164671009. The next prime is 164671049. The reversal of 164671040 is 40176461.

It can be written as a sum of positive squares in 4 ways, for example, as 11505664 + 153165376 = 3392^2 + 12376^2 .

It is a junction number, because it is equal to n+sod(n) for n = 164670994 and 164671012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164671049) 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, 85124 + ... + 87036.

Almost surely, 2^164671040 is an apocalyptic number.

164671040 is a gapful number since it is divisible by the number (10) 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 164671040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196893180).

164671040 is an abundant number, since it is smaller than the sum of its proper divisors (229115320).

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

164671040 is a wasteful number, since it uses less digits than its factorization.

164671040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2199 (or 2189 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 164671040 is about 12832.4214394634. The cubic root of 164671040 is about 548.1159113327.

The spelling of 164671040 in words is "one hundred sixty-four million, six hundred seventy-one thousand, forty".