171468960 has 96 divisors (see below), whose sum is σ = 581696640. Its totient is φ = 42206208.

The previous prime is 171468943. The next prime is 171469003. The reversal of 171468960 is 69864171.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7500 + ... + 19979.

It is an arithmetic number, because the mean of its divisors is an integer number (6059340).

Almost surely, 2^171468960 is an apocalyptic number.

171468960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

171468960 is an abundant number, since it is smaller than the sum of its proper divisors (410227680).

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

171468960 is a wasteful number, since it uses less digits than its factorization.

171468960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27510 (or 27502 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 171468960 is about 13094.6156873732. The cubic root of 171468960 is about 555.5568471674.

It can be divided in two parts, 17146 and 8960, that added together give a triangular number (26106 = T₂₂₈).

The spelling of 171468960 in words is "one hundred seventy-one million, four hundred sixty-eight thousand, nine hundred sixty".