64085952 has 112 divisors (see below), whose sum is σ = 198680832. Its totient is φ = 17848320.

The previous prime is 64085921. The next prime is 64086007. The reversal of 64085952 is 25958046.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 64085952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54523 + ... + 55685.

It is an arithmetic number, because the mean of its divisors is an integer number (1773936).

Almost surely, 2^64085952 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 64085952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99340416).

64085952 is an abundant number, since it is smaller than the sum of its proper divisors (134594880).

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

64085952 is a wasteful number, since it uses less digits than its factorization.

64085952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 64085952 is about 8005.3701975611. The cubic root of 64085952 is about 400.1789865642.

The spelling of 64085952 in words is "sixty-four million, eighty-five thousand, nine hundred fifty-two".