64065840 has 160 divisors (see below), whose sum is σ = 209510400. Its totient is φ = 16174080.

The previous prime is 64065839. The next prime is 64065857. The reversal of 64065840 is 4856046.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 587706 + ... + 587814.

It is an arithmetic number, because the mean of its divisors is an integer number (1309440).

Almost surely, 2^64065840 is an apocalyptic number.

64065840 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 64065840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104755200).

64065840 is an abundant number, since it is smaller than the sum of its proper divisors (145444560).

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

64065840 is a wasteful number, since it uses less digits than its factorization.

64065840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 64065840 is about 8004.1139422175. The cubic root of 64065840 is about 400.1371196568.

It can be divided in two parts, 6406 and 5840, that added together give a triangular number (12246 = T₁₅₆).

The spelling of 64065840 in words is "sixty-four million, sixty-five thousand, eight hundred forty".