172816640 has 144 divisors (see below), whose sum is σ = 440400240. Its totient is φ = 64880640.

The previous prime is 172816573. The next prime is 172816649. The reversal of 172816640 is 46618271.

It can be written as a sum of positive squares in 8 ways, for example, as 14258176 + 158558464 = 3776^2 + 12592^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 172816640.

It is not an unprimeable number, because it can be changed into a prime (172816649) 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 15 ways as a sum of consecutive naturals, for example, 1941716 + ... + 1941804.

It is an arithmetic number, because the mean of its divisors is an integer number (3058335).

Almost surely, 2^172816640 is an apocalyptic number.

172816640 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 172816640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220200120).

172816640 is an abundant number, since it is smaller than the sum of its proper divisors (267583600).

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

172816640 is an equidigital number, since it uses as much as digits as its factorization.

172816640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 172816640 is about 13145.9742887319. The cubic root of 172816640 is about 557.0085381722.

The spelling of 172816640 in words is "one hundred seventy-two million, eight hundred sixteen thousand, six hundred forty".