64413312 has 128 divisors (see below), whose sum is σ = 180956160. Its totient is φ = 20278272.

The previous prime is 64413311. The next prime is 64413313. The reversal of 64413312 is 21331446.

It is an interprime number because it is at equal distance from previous prime (64413311) and next prime (64413313).

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 (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64413311) 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, 776023 + ... + 776105.

It is an arithmetic number, because the mean of its divisors is an integer number (1413720).

Almost surely, 2^64413312 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 64413312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90478080).

64413312 is an abundant number, since it is smaller than the sum of its proper divisors (116542848).

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

64413312 is a wasteful number, since it uses less digits than its factorization.

64413312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 178 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 64413312 is about 8025.7904283628. The cubic root of 64413312 is about 400.8592196989.

Adding to 64413312 its reverse (21331446), we get a palindrome (85744758).

The spelling of 64413312 in words is "sixty-four million, four hundred thirteen thousand, three hundred twelve".