1622144 has 64 divisors (see below), whose sum is σ = 3672000. Its totient is φ = 709632.

The previous prime is 1622143. The next prime is 1622149. The reversal of 1622144 is 4412261.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1622141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55922 + ... + 55950.

It is an arithmetic number, because the mean of its divisors is an integer number (57375).

2^1622144 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 1622144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836000).

1622144 is an abundant number, since it is smaller than the sum of its proper divisors (2049856).

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

1622144 is a wasteful number, since it uses less digits than its factorization.

1622144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 73 counting only the distinct ones).

The product of its digits is 384, while the sum is 20.

The square root of 1622144 is about 1273.6341703959. The cubic root of 1622144 is about 117.4978179767.

The spelling of 1622144 in words is "one million, six hundred twenty-two thousand, one hundred forty-four".