65243200 has 126 divisors (see below), whose sum is σ = 176983898. Its totient is φ = 23654400.

The previous prime is 65243197. The next prime is 65243209. The reversal of 65243200 is 234256.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1115136 + 64128064 = 1056^2 + 8008^2 .

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (65243209) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 193432 + ... + 193768.

Almost surely, 2^65243200 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 65243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88491949).

65243200 is an abundant number, since it is smaller than the sum of its proper divisors (111740698).

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

65243200 is a wasteful number, since it uses less digits than its factorization.

65243200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 65243200 is about 8077.3262903018. The cubic root of 65243200 is about 402.5734084182.

Adding to 65243200 its reverse (234256), we get a palindrome (65477456).

The spelling of 65243200 in words is "sixty-five million, two hundred forty-three thousand, two hundred".