65504400 has 360 divisors, whose sum is σ = 253242720. Its totient is φ = 14376960.

The previous prime is 65504357. The next prime is 65504407. The reversal of 65504400 is 440556.

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

It is not an unprimeable number, because it can be changed into a prime (65504407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3447591 + ... + 3447609.

It is an arithmetic number, because the mean of its divisors is an integer number (703452).

Almost surely, 2^65504400 is an apocalyptic number.

65504400 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 65504400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126621360).

65504400 is an abundant number, since it is smaller than the sum of its proper divisors (187738320).

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

65504400 is a wasteful number, since it uses less digits than its factorization.

65504400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 65504400 is about 8093.4788564622. The cubic root of 65504400 is about 403.1099249215.

Adding to 65504400 its reverse (440556), we get a palindrome (65944956).

The spelling of 65504400 in words is "sixty-five million, five hundred four thousand, four hundred".