65514400 has 72 divisors (see below), whose sum is σ = 182800800. Its totient is φ = 22460160.

The previous prime is 65514391. The next prime is 65514403. The reversal of 65514400 is 441556.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (65514403) 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, 250 + ... + 11449.

It is an arithmetic number, because the mean of its divisors is an integer number (2538900).

Almost surely, 2^65514400 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 65514400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91400400).

65514400 is an abundant number, since it is smaller than the sum of its proper divisors (117286400).

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

65514400 is a wasteful number, since it uses less digits than its factorization.

65514400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11726 (or 11713 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 65514400 is about 8094.0966141998. The cubic root of 65514400 is about 403.1304369998.

Adding to 65514400 its reverse (441556), we get a palindrome (65955956).

The spelling of 65514400 in words is "sixty-five million, five hundred fourteen thousand, four hundred".