49008064 has 56 divisors (see below), whose sum is σ = 112085120. Its totient is φ = 20825856.

The previous prime is 49008053. The next prime is 49008077. The reversal of 49008064 is 46080094.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61879 + ... + 62665.

It is an arithmetic number, because the mean of its divisors is an integer number (2001520).

Almost surely, 2^49008064 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 49008064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56042560).

49008064 is an abundant number, since it is smaller than the sum of its proper divisors (63077056).

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

49008064 is a wasteful number, since it uses less digits than its factorization.

49008064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 49008064 is about 7000.5759763037. The cubic root of 49008064 is about 365.9506438068.

The spelling of 49008064 in words is "forty-nine million, eight thousand, sixty-four".