48948864 has 64 divisors (see below), whose sum is σ = 136884000. Its totient is φ = 15455232.

The previous prime is 48948863. The next prime is 48948871. The reversal of 48948864 is 46884984.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48948863) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3942 + ... + 10650.

Almost surely, 2^48948864 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 48948864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68442000).

48948864 is an abundant number, since it is smaller than the sum of its proper divisors (87935136).

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

48948864 is a wasteful number, since it uses less digits than its factorization.

48948864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6745 (or 6733 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 51.

The square root of 48948864 is about 6996.3464751254. The cubic root of 48948864 is about 365.8032326434.

The spelling of 48948864 in words is "forty-eight million, nine hundred forty-eight thousand, eight hundred sixty-four".