49664 has 20 divisors (see below), whose sum is σ = 100254. Its totient is φ = 24576.

The previous prime is 49663. The next prime is 49667. The reversal of 49664 is 46694.

49664 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in only one way, i.e., 43264 + 6400 = 208^2 + 80^2 .

It is an Ulam number.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 464 + ... + 560.

2⁴⁹⁶⁶⁴ 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 49664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50127).

49664 is an abundant number, since it is smaller than the sum of its proper divisors (50590).

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

49664 is an frugal number, since it uses more digits than its factorization.

49664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 99 counting only the distinct ones).

The product of its digits is 5184, while the sum is 29.

The square root of 49664 is about 222.8542124349. The cubic root of 49664 is about 36.7576071377.

The spelling of 49664 in words is "forty-nine thousand, six hundred sixty-four".