4662144 has 128 divisors (see below), whose sum is σ = 14688000. Its totient is φ = 1451520.

The previous prime is 4662137. The next prime is 4662149. The reversal of 4662144 is 4412664.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 (4662149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65629 + ... + 65699.

It is an arithmetic number, because the mean of its divisors is an integer number (114750).

Almost surely, 2^4662144 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 4662144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7344000).

4662144 is an abundant number, since it is smaller than the sum of its proper divisors (10025856).

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

4662144 is a wasteful number, since it uses less digits than its factorization.

4662144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 95 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 4662144 is about 2159.1998517970. The cubic root of 4662144 is about 167.0559292512.

It can be divided in two parts, 46621 and 44, that added together give a triangular number (46665 = T₃₀₅).

The spelling of 4662144 in words is "four million, six hundred sixty-two thousand, one hundred forty-four".