65013840 has 200 divisors, whose sum is σ = 230461440. Its totient is φ = 16982784.

The previous prime is 65013833. The next prime is 65013841. The reversal of 65013840 is 4831056.

65013840 is a `hidden beast` number, since 650 + 1 + 3 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65013841) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 511857 + ... + 511983.

Almost surely, 2^65013840 is an apocalyptic number.

65013840 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 65013840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115230720).

65013840 is an abundant number, since it is smaller than the sum of its proper divisors (165447600).

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

65013840 is a wasteful number, since it uses less digits than its factorization.

65013840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 65013840 is about 8063.1160229777. The cubic root of 65013840 is about 402.1011106771.

Adding to 65013840 its reverse (4831056), we get a palindrome (69844896).

The spelling of 65013840 in words is "sixty-five million, thirteen thousand, eight hundred forty".