65530400 has 72 divisors (see below), whose sum is σ = 172309284. Its totient is φ = 24192000.

The previous prime is 65530397. The next prime is 65530403. The reversal of 65530400 is 403556.

It is an interprime number because it is at equal distance from previous prime (65530397) and next prime (65530403).

It can be written as a sum of positive squares in 6 ways, for example, as 15460624 + 50069776 = 3932^2 + 7076^2 .

It is not an unprimeable number, because it can be changed into a prime (65530403) 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, 7250 + ... + 13550.

Almost surely, 2^65530400 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 65530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86154642).

65530400 is an abundant number, since it is smaller than the sum of its proper divisors (106778884).

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

65530400 is a wasteful number, since it uses less digits than its factorization.

65530400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6334 (or 6321 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 65530400 is about 8095.0849285230. The cubic root of 65530400 is about 403.1632519839.

Adding to 65530400 its reverse (403556), we get a palindrome (65933956).

The spelling of 65530400 in words is "sixty-five million, five hundred thirty thousand, four hundred".