171380664 has 128 divisors (see below), whose sum is σ = 585984000. Its totient is φ = 45194112.

The previous prime is 171380653. The next prime is 171380683. The reversal of 171380664 is 466083171.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15297 + ... + 24015.

It is an arithmetic number, because the mean of its divisors is an integer number (4578000).

Almost surely, 2^171380664 is an apocalyptic number.

171380664 is a gapful number since it is divisible by the number (14) 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 171380664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292992000).

171380664 is an abundant number, since it is smaller than the sum of its proper divisors (414603336).

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

171380664 is a wasteful number, since it uses less digits than its factorization.

171380664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8754 (or 8744 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 171380664 is about 13091.2437911758. The cubic root of 171380664 is about 555.4614715580.

The spelling of 171380664 in words is "one hundred seventy-one million, three hundred eighty thousand, six hundred sixty-four".