1626144 has 48 divisors (see below), whose sum is σ = 4600512. Its totient is φ = 499968.

The previous prime is 1626143. The next prime is 1626173. The reversal of 1626144 is 4416261.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1626143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 597 + ... + 1899.

It is an arithmetic number, because the mean of its divisors is an integer number (95844).

2^1626144 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 1626144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2300256).

1626144 is an abundant number, since it is smaller than the sum of its proper divisors (2974368).

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

1626144 is a wasteful number, since it uses less digits than its factorization.

1626144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1321 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 1626144 is about 1275.2035131696. The cubic root of 1626144 is about 117.5943169080.

It can be divided in two parts, 1626 and 144, that added together give a triangular number (1770 = T₅₉).

The spelling of 1626144 in words is "one million, six hundred twenty-six thousand, one hundred forty-four".