64071000 has 320 divisors, whose sum is σ = 258223680. Its totient is φ = 14515200.

The previous prime is 64070971. The next prime is 64071001. The reversal of 64071000 is 17046.

64071000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64071001) 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 79 ways as a sum of consecutive naturals, for example, 566944 + ... + 567056.

It is an arithmetic number, because the mean of its divisors is an integer number (806949).

Almost surely, 2^64071000 is an apocalyptic number.

64071000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64071000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129111840).

64071000 is an abundant number, since it is smaller than the sum of its proper divisors (194152680).

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

64071000 is a wasteful number, since it uses less digits than its factorization.

64071000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 64071000 is about 8004.4362699693. The cubic root of 64071000 is about 400.1478620020.

Adding to 64071000 its reverse (17046), we get a palindrome (64088046).

The spelling of 64071000 in words is "sixty-four million, seventy-one thousand".