64741248 has 256 divisors, whose sum is σ = 226195200. Its totient is φ = 17971200.

The previous prime is 64741247. The next prime is 64741289. The reversal of 64741248 is 84214746.

64741248 is a `hidden beast` number, since 647 + 4 + 1 + 2 + 4 + 8 = 666.

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 (64741241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 494143 + ... + 494273.

It is an arithmetic number, because the mean of its divisors is an integer number (883575).

Almost surely, 2^64741248 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 64741248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113097600).

64741248 is an abundant number, since it is smaller than the sum of its proper divisors (161453952).

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

64741248 is a wasteful number, since it uses less digits than its factorization.

64741248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 160 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 64741248 is about 8046.1946285185. The cubic root of 64741248 is about 401.5383428356.

The spelling of 64741248 in words is "sixty-four million, seven hundred forty-one thousand, two hundred forty-eight".