171890040 has 384 divisors, whose sum is σ = 661893120. Its totient is φ = 35481600.

The previous prime is 171890023. The next prime is 171890051. The reversal of 171890040 is 40098171.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4192420 + ... + 4192460.

It is an arithmetic number, because the mean of its divisors is an integer number (1723680).

Almost surely, 2^171890040 is an apocalyptic number.

171890040 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 171890040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330946560).

171890040 is an abundant number, since it is smaller than the sum of its proper divisors (490003080).

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

171890040 is a wasteful number, since it uses less digits than its factorization.

171890040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 171890040 is about 13110.6841926728. The cubic root of 171890040 is about 556.0112397017.

The spelling of 171890040 in words is "one hundred seventy-one million, eight hundred ninety thousand, forty".