64215936 has 128 divisors (see below), whose sum is σ = 200858400. Its totient is φ = 20127744.

The previous prime is 64215929. The next prime is 64215937. The reversal of 64215936 is 63951246.

It is a happy number.

64215936 is a `hidden beast` number, since 64 + 2 + 1 + 593 + 6 = 666.

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

It is a super-3 number, since 3×64215936³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 64215936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64215937) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58206 + ... + 59298.

Almost surely, 2^64215936 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 64215936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100429200).

64215936 is an abundant number, since it is smaller than the sum of its proper divisors (136642464).

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

64215936 is a wasteful number, since it uses less digits than its factorization.

64215936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133 (or 1115 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 64215936 is about 8013.4846352882. The cubic root of 64215936 is about 400.4493616629.

It can be divided in two parts, 64 and 215936, that added together give a cube (216000 = 60³).

The spelling of 64215936 in words is "sixty-four million, two hundred fifteen thousand, nine hundred thirty-six".