49644 has 36 divisors (see below), whose sum is σ = 144144. Its totient is φ = 14112.

The previous prime is 49639. The next prime is 49663. The reversal of 49644 is 44694.

49644 = T₄₅ + T₄₆ + ... + T₇₂.

49644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154 + ... + 350.

It is an arithmetic number, because the mean of its divisors is an integer number (4004).

2⁴⁹⁶⁴⁴ 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 49644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72072).

49644 is an abundant number, since it is smaller than the sum of its proper divisors (94500).

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

49644 is a wasteful number, since it uses less digits than its factorization.

49644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 209 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 49644 is about 222.8093355315. The cubic root of 49644 is about 36.7526723032.

Subtracting from 49644 its reverse (44694), we obtain a triangular number (4950 = T₉₉).

The spelling of 49644 in words is "forty-nine thousand, six hundred forty-four".