170408160 has 144 divisors (see below), whose sum is σ = 626318784. Its totient is φ = 41942016.

The previous prime is 170408137. The next prime is 170408191. The reversal of 170408160 is 61804071.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14169 + ... + 23271.

It is an arithmetic number, because the mean of its divisors is an integer number (4349436).

Almost surely, 2^170408160 is an apocalyptic number.

170408160 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 170408160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313159392).

170408160 is an abundant number, since it is smaller than the sum of its proper divisors (455910624).

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

170408160 is a wasteful number, since it uses less digits than its factorization.

170408160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9137 (or 9126 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 170408160 is about 13054.0476481435. The cubic root of 170408160 is about 554.4088177855.

It can be divided in two parts, 17040 and 8160, that added together give a triangular number (25200 = T₂₂₄).

The spelling of 170408160 in words is "one hundred seventy million, four hundred eight thousand, one hundred sixty".