65340000 has 360 divisors, whose sum is σ = 261759960. Its totient is φ = 15840000.

The previous prime is 65339969. The next prime is 65340001. The reversal of 65340000 is 4356.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65340001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5939995 + ... + 5940005.

It is an arithmetic number, because the mean of its divisors is an integer number (727111).

Almost surely, 2^65340000 is an apocalyptic number.

65340000 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 65340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130879980).

65340000 is an abundant number, since it is smaller than the sum of its proper divisors (196419960).

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

65340000 is a wasteful number, since it uses less digits than its factorization.

65340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 65340000 is about 8083.3161511845. The cubic root of 65340000 is about 402.7724066752.

Adding to 65340000 its reverse (4356), we get a palindrome (65344356).

The spelling of 65340000 in words is "sixty-five million, three hundred forty thousand".