171964000 has 96 divisors (see below), whose sum is σ = 455154336. Its totient is φ = 63475200.

The previous prime is 171963991. The next prime is 171964007. The reversal of 171964000 is 469171.

It is a self number, because there is not a number n which added to its sum of digits gives 171964000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (171964007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50347 + ... + 53653.

It is an arithmetic number, because the mean of its divisors is an integer number (4741191).

Almost surely, 2^171964000 is an apocalyptic number.

171964000 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 171964000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227577168).

171964000 is an abundant number, since it is smaller than the sum of its proper divisors (283190336).

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

171964000 is a wasteful number, since it uses less digits than its factorization.

171964000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3345 (or 3327 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 171964000 is about 13113.5044896473. The cubic root of 171964000 is about 556.0909741930.

The spelling of 171964000 in words is "one hundred seventy-one million, nine hundred sixty-four thousand".