65409152 has 64 divisors (see below), whose sum is σ = 137332800. Its totient is φ = 30987264.

The previous prime is 65409151. The next prime is 65409161. The reversal of 65409152 is 25190456.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (65409151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 248573 + ... + 248835.

It is an arithmetic number, because the mean of its divisors is an integer number (2145825).

Almost surely, 2^65409152 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 65409152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68666400).

65409152 is an abundant number, since it is smaller than the sum of its proper divisors (71923648).

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

65409152 is a wasteful number, since it uses less digits than its factorization.

65409152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The square root of 65409152 is about 8087.5924724234. The cubic root of 65409152 is about 402.9144467600.

The spelling of 65409152 in words is "sixty-five million, four hundred nine thousand, one hundred fifty-two".