65400 has 48 divisors (see below), whose sum is σ = 204600. Its totient is φ = 17280.

The previous prime is 65393. The next prime is 65407. The reversal of 65400 is 456.

It is an interprime number because it is at equal distance from previous prime (65393) and next prime (65407).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 65400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65407) 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, 546 + ... + 654.

2⁶⁵⁴⁰⁰ is an apocalyptic number.

65400 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 65400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102300).

65400 is an abundant number, since it is smaller than the sum of its proper divisors (139200).

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

65400 is a wasteful number, since it uses less digits than its factorization.

65400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 65400 is about 255.7342370509. The cubic root of 65400 is about 40.2895654053.

65400 divided by its product of nonzero digits (120) gives a palindrome (545).

Adding to 65400 its reverse (456), we get a palindrome (65856).

It can be divided in two parts, 65 and 400, that added together give a triangular number (465 = T₃₀).

The spelling of 65400 in words is "sixty-five thousand, four hundred".