2067624 has 72 divisors (see below), whose sum is σ = 6161610. Its totient is φ = 622656.

The previous prime is 2067623. The next prime is 2067647. The reversal of 2067624 is 4267602.

It can be written as a sum of positive squares in only one way, i.e., 1988100 + 79524 = 1410^2 + 282^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (2067623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 43969 + ... + 44015.

2^2067624 is an apocalyptic number.

2067624 is a gapful number since it is divisible by the number (24) 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 2067624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3080805).

2067624 is an abundant number, since it is smaller than the sum of its proper divisors (4093986).

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

2067624 is a wasteful number, since it uses less digits than its factorization.

2067624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2067624 is about 1437.9235028332. The cubic root of 2067624 is about 127.3964095145.

The spelling of 2067624 in words is "two million, sixty-seven thousand, six hundred twenty-four".