65014400 has 96 divisors (see below), whose sum is σ = 175301280. Its totient is φ = 23628800.

The previous prime is 65014387. The next prime is 65014403. The reversal of 65014400 is 441056.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (65014403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34277 + ... + 36123.

It is an arithmetic number, because the mean of its divisors is an integer number (1826055).

Almost surely, 2^65014400 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 65014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87650640).

65014400 is an abundant number, since it is smaller than the sum of its proper divisors (110286880).

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

65014400 is a wasteful number, since it uses less digits than its factorization.

65014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1882 (or 1865 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 65014400 is about 8063.1507489318. The cubic root of 65014400 is about 402.1022651799.

Adding to 65014400 its reverse (441056), we get a palindrome (65455456).

It can be divided in two parts, 6501 and 4400, that added together give a palindrome (10901).

The spelling of 65014400 in words is "sixty-five million, fourteen thousand, four hundred".