65059456 has 192 divisors, whose sum is σ = 175815360. Its totient is φ = 23654400.

The previous prime is 65059427. The next prime is 65059457. The reversal of 65059456 is 65495056.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (65059457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1586796 + ... + 1586836.

It is an arithmetic number, because the mean of its divisors is an integer number (915705).

Almost surely, 2^65059456 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 65059456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87907680).

65059456 is an abundant number, since it is smaller than the sum of its proper divisors (110755904).

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

65059456 is a wasteful number, since it uses less digits than its factorization.

65059456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 40.

The square root of 65059456 is about 8065.9442100724. The cubic root of 65059456 is about 402.1951314583.

Subtracting 65059456 from its reverse (65495056), we obtain a square (435600 = 660²).

It can be divided in two parts, 650 and 59456, that added together give a palindrome (60106).

The spelling of 65059456 in words is "sixty-five million, fifty-nine thousand, four hundred fifty-six".