49664544 has 96 divisors (see below), whose sum is σ = 138184704. Its totient is φ = 15586560.

The previous prime is 49664543. The next prime is 49664579. The reversal of 49664544 is 44546694.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 49664496 and 49664505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49664543) 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, 183129 + ... + 183399.

It is an arithmetic number, because the mean of its divisors is an integer number (1439424).

Almost surely, 2^49664544 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 49664544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69092352).

49664544 is an abundant number, since it is smaller than the sum of its proper divisors (88520160).

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

49664544 is a wasteful number, since it uses less digits than its factorization.

49664544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 382 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The square root of 49664544 is about 7047.3075709806. The cubic root of 49664544 is about 367.5774134664.

The spelling of 49664544 in words is "forty-nine million, six hundred sixty-four thousand, five hundred forty-four".