65415960 has 48 divisors (see below), whose sum is σ = 212603040. Its totient is φ = 17444160.

The previous prime is 65415953. The next prime is 65415989. The reversal of 65415960 is 6951456.

65415960 is a `hidden beast` number, since 6 + 541 + 59 + 60 = 666.

65415960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90496 + ... + 91215.

It is an arithmetic number, because the mean of its divisors is an integer number (4429230).

Almost surely, 2^65415960 is an apocalyptic number.

65415960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

65415960 is an abundant number, since it is smaller than the sum of its proper divisors (147187080).

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

65415960 is a wasteful number, since it uses less digits than its factorization.

65415960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181728 (or 181721 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 65415960 is about 8088.0133531047. The cubic root of 65415960 is about 402.9284251626.

It can be divided in two parts, 65 and 415960, that added together give a square (416025 = 645²).

The spelling of 65415960 in words is "sixty-five million, four hundred fifteen thousand, nine hundred sixty".