64071040 has 128 divisors (see below), whose sum is σ = 176256000. Its totient is φ = 22026240.

The previous prime is 64071037. The next prime is 64071071. The reversal of 64071040 is 4017046.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133521 + ... + 133999.

It is an arithmetic number, because the mean of its divisors is an integer number (1377000).

Almost surely, 2^64071040 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 64071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88128000).

64071040 is an abundant number, since it is smaller than the sum of its proper divisors (112184960).

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

64071040 is a wasteful number, since it uses less digits than its factorization.

64071040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 64071040 is about 8004.4387685833. The cubic root of 64071040 is about 400.1479452737.

Adding to 64071040 its reverse (4017046), we get a palindrome (68088086).

It can be divided in two parts, 6407 and 1040, that added together give a palindrome (7447).

The spelling of 64071040 in words is "sixty-four million, seventy-one thousand, forty".