64138048 has 56 divisors (see below), whose sum is σ = 138371072. Its totient is φ = 29320704.

The previous prime is 64138043. The next prime is 64138051. The reversal of 64138048 is 84083146.

It is a super-2 number, since 2×64138048² = 8227378402500608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64138043) 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, 105361 + ... + 105967.

It is an arithmetic number, because the mean of its divisors is an integer number (2470912).

Almost surely, 2^64138048 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 64138048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69185536).

64138048 is an abundant number, since it is smaller than the sum of its proper divisors (74233024).

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

64138048 is a wasteful number, since it uses less digits than its factorization.

64138048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 64138048 is about 8008.6233523621. The cubic root of 64138048 is about 400.2873934630.

The spelling of 64138048 in words is "sixty-four million, one hundred thirty-eight thousand, forty-eight".