171268440 has 128 divisors (see below), whose sum is σ = 598440960. Its totient is φ = 38398464.

The previous prime is 171268429. The next prime is 171268457. The reversal of 171268440 is 44862171.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 42597 + ... + 46443.

It is an arithmetic number, because the mean of its divisors is an integer number (4675320).

Almost surely, 2^171268440 is an apocalyptic number.

171268440 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 171268440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299220480).

171268440 is an abundant number, since it is smaller than the sum of its proper divisors (427172520).

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

171268440 is a wasteful number, since it uses less digits than its factorization.

171268440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3921 (or 3917 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 171268440 is about 13086.9568655207. The cubic root of 171268440 is about 555.3402021024.

The spelling of 171268440 in words is "one hundred seventy-one million, two hundred sixty-eight thousand, four hundred forty".