171916720 has 80 divisors (see below), whose sum is σ = 419919552. Its totient is φ = 65331200.

The previous prime is 171916711. The next prime is 171916739. The reversal of 171916720 is 27619171.

It is a tau number, because it is divible by the number of its divisors (80).

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, 428520 + ... + 428920.

Almost surely, 2^171916720 is an apocalyptic number.

171916720 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 171916720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209959776).

171916720 is an abundant number, since it is smaller than the sum of its proper divisors (248002832).

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

171916720 is a wasteful number, since it uses less digits than its factorization.

171916720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 34.

The square root of 171916720 is about 13111.7016439515. The cubic root of 171916720 is about 556.0400054026.

The spelling of 171916720 in words is "one hundred seventy-one million, nine hundred sixteen thousand, seven hundred twenty".