171426816 has 264 divisors, whose sum is σ = 574797600. Its totient is φ = 48660480.

The previous prime is 171426779. The next prime is 171426817. The reversal of 171426816 is 618624171.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (264).

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

It is not an unprimeable number, because it can be changed into a prime (171426817) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1926100 + ... + 1926188.

Almost surely, 2^171426816 is an apocalyptic number.

171426816 is a gapful number since it is divisible by the number (16) 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 171426816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287398800).

171426816 is an abundant number, since it is smaller than the sum of its proper divisors (403370784).

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

171426816 is a wasteful number, since it uses less digits than its factorization.

171426816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 124 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 171426816 is about 13093.0063774520. The cubic root of 171426816 is about 555.5113281295.

The spelling of 171426816 in words is "one hundred seventy-one million, four hundred twenty-six thousand, eight hundred sixteen".