49536 has 48 divisors (see below), whose sum is σ = 145860. Its totient is φ = 16128.

The previous prime is 49531. The next prime is 49537. The reversal of 49536 is 63594.

It is a happy number.

49536 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49531) 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, 1131 + ... + 1173.

2⁴⁹⁵³⁶ 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 49536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72930).

49536 is an abundant number, since it is smaller than the sum of its proper divisors (96324).

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

49536 is a wasteful number, since it uses less digits than its factorization.

49536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 48 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 49536 is about 222.5668438919. The cubic root of 49536 is about 36.7260012690.

It can be divided in two parts, 49 and 536, that added together give a palindrome (585).

The spelling of 49536 in words is "forty-nine thousand, five hundred thirty-six".