171376920 has 192 divisors, whose sum is σ = 654544800. Its totient is φ = 38338560.

The previous prime is 171376913. The next prime is 171376939. The reversal of 171376920 is 29673171.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 49816 + ... + 53144.

Almost surely, 2^171376920 is an apocalyptic number.

171376920 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 171376920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327272400).

171376920 is an abundant number, since it is smaller than the sum of its proper divisors (483167880).

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

171376920 is a wasteful number, since it uses less digits than its factorization.

171376920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3370 (or 3363 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 171376920 is about 13091.1007940509. The cubic root of 171376920 is about 555.4574266387.

The spelling of 171376920 in words is "one hundred seventy-one million, three hundred seventy-six thousand, nine hundred twenty".