1629144 has 96 divisors (see below), whose sum is σ = 5138640. Its totient is φ = 464640.

The previous prime is 1629137. The next prime is 1629149. The reversal of 1629144 is 4419261.

It is a super-2 number, since 2×1629144² = 5308220345472, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1629149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95824 + ... + 95840.

2^1629144 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 1629144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2569320).

1629144 is an abundant number, since it is smaller than the sum of its proper divisors (3509496).

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

1629144 is a wasteful number, since it uses less digits than its factorization.

1629144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 33 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 1629144 is about 1276.3792539837. The cubic root of 1629144 is about 117.6665873073. Note that the first 3 decimals are identical.

The spelling of 1629144 in words is "one million, six hundred twenty-nine thousand, one hundred forty-four".