4968144 has 30 divisors (see below), whose sum is σ = 13904306. Its totient is φ = 1656000.

The previous prime is 4968133. The next prime is 4968149. The reversal of 4968144 is 4418694.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 4359744 + 608400 = 2088^2 + 780^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 4968099 and 4968108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4968149) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17107 + ... + 17394.

Almost surely, 2^4968144 is an apocalyptic number.

It is an amenable number.

4968144 is an abundant number, since it is smaller than the sum of its proper divisors (8936162).

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

4968144 is a wasteful number, since it uses less digits than its factorization.

4968144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34515 (or 34506 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 4968144 is about 2228.9333772009. The cubic root of 4968144 is about 170.6336673937.

The spelling of 4968144 in words is "four million, nine hundred sixty-eight thousand, one hundred forty-four".