1600144 has 60 divisors (see below), whose sum is σ = 3908604. Its totient is φ = 628992.

The previous prime is 1600141. The next prime is 1600153. The reversal of 1600144 is 4410061.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 345744 + 1254400 = 588^2 + 1120^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

1600144 is a modest number, since divided by 144 gives 16 as remainder.

It is not an unprimeable number, because it can be changed into a prime (1600141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10114 + ... + 10270.

2^1600144 is an apocalyptic number.

1600144 is a gapful number since it is divisible by the number (14) 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 1600144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1954302).

1600144 is an abundant number, since it is smaller than the sum of its proper divisors (2308460).

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

1600144 is a wasteful number, since it uses less digits than its factorization.

1600144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1600144 is about 1264.9679837846. The cubic root of 1600144 is about 116.9642182445.

It can be divided in two parts, 1600 and 144, that multiplied together give a square (230400 = 480²).

The spelling of 1600144 in words is "one million, six hundred thousand, one hundred forty-four".