64512240 has 320 divisors, whose sum is σ = 239984640. Its totient is φ = 14192640.

The previous prime is 64512221. The next prime is 64512241. The reversal of 64512240 is 4221546.

64512240 is a nontrivial binomial coefficient, being equal to C(32, 10).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 64512240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64512241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2081025 + ... + 2081055.

It is an arithmetic number, because the mean of its divisors is an integer number (749952).

Almost surely, 2^64512240 is an apocalyptic number.

64512240 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 64512240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119992320).

64512240 is an abundant number, since it is smaller than the sum of its proper divisors (175472400).

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

64512240 is a wasteful number, since it uses less digits than its factorization.

64512240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 64512240 is about 8031.9511950708. The cubic root of 64512240 is about 401.0643321475.

Adding to 64512240 its reverse (4221546), we get a palindrome (68733786).

The spelling of 64512240 in words is "sixty-four million, five hundred twelve thousand, two hundred forty".