49547664 has 60 divisors (see below), whose sum is σ = 139504092. Its totient is φ = 16416000.

The previous prime is 49547657. The next prime is 49547713. The reversal of 49547664 is 46674594.

49547664 is a `hidden beast` number, since 49 + 547 + 6 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1937664 + 47610000 = 1392^2 + 6900^2 .

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, 25114 + ... + 27014.

Almost surely, 2^49547664 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 49547664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69752046).

49547664 is an abundant number, since it is smaller than the sum of its proper divisors (89956428).

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

49547664 is a wasteful number, since it uses less digits than its factorization.

49547664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2096 (or 2087 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 49547664 is about 7039.0101576855. The cubic root of 49547664 is about 367.2888360682.

The spelling of 49547664 in words is "forty-nine million, five hundred forty-seven thousand, six hundred sixty-four".