64042848 has 72 divisors (see below), whose sum is σ = 185257800. Its totient is φ = 20980224.

The previous prime is 64042843. The next prime is 64042871. The reversal of 64042848 is 84824046.

64042848 is a `hidden beast` number, since 640 + 4 + 2 + 8 + 4 + 8 = 666.

64042848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×64042848² = 8202972759902208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64042843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15108 + ... + 18876.

It is an arithmetic number, because the mean of its divisors is an integer number (2573025).

Almost surely, 2^64042848 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 64042848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92628900).

64042848 is an abundant number, since it is smaller than the sum of its proper divisors (121214952).

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

64042848 is a wasteful number, since it uses less digits than its factorization.

64042848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3844 (or 3833 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 64042848 is about 8002.6775519197. The cubic root of 64042848 is about 400.0892467527.

The spelling of 64042848 in words is "sixty-four million, forty-two thousand, eight hundred forty-eight".