170442144 has 144 divisors (see below), whose sum is σ = 525051072. Its totient is φ = 54286848.

The previous prime is 170442109. The next prime is 170442157. The reversal of 170442144 is 441244071.

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 Harshad number since it is a multiple of its sum of digits (27).

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, 178372 + ... + 179324.

It is an arithmetic number, because the mean of its divisors is an integer number (3646188).

Almost surely, 2^170442144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 170442144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262525536).

170442144 is an abundant number, since it is smaller than the sum of its proper divisors (354608928).

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

170442144 is an equidigital number, since it uses as much as digits as its factorization.

170442144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 170442144 is about 13055.3492484881. The cubic root of 170442144 is about 554.4456700444.

The spelling of 170442144 in words is "one hundred seventy million, four hundred forty-two thousand, one hundred forty-four".