48744064 has 32 divisors (see below), whose sum is σ = 98042400. Its totient is φ = 24137472.

The previous prime is 48744043. The next prime is 48744067. The reversal of 48744064 is 46044784.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (48744067) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11917 + ... + 15475.

It is an arithmetic number, because the mean of its divisors is an integer number (3063825).

Almost surely, 2^48744064 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 48744064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49021200).

48744064 is an abundant number, since it is smaller than the sum of its proper divisors (49298336).

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

48744064 is a wasteful number, since it uses less digits than its factorization.

48744064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3680 (or 3668 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 37.

The square root of 48744064 is about 6981.6949231544. The cubic root of 48744064 is about 365.2923510010.

It can be divided in two parts, 487 and 44064, that added together give a triangular number (44551 = T₂₉₈).

The spelling of 48744064 in words is "forty-eight million, seven hundred forty-four thousand, sixty-four".