65525760 has 240 divisors, whose sum is σ = 237837600. Its totient is φ = 17252352.

The previous prime is 65525743. The next prime is 65525767. The reversal of 65525760 is 6752556.

65525760 is a `hidden beast` number, since 65 + 525 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65525767) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 829401 + ... + 829479.

It is an arithmetic number, because the mean of its divisors is an integer number (990990).

Almost surely, 2^65525760 is an apocalyptic number.

65525760 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 65525760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118918800).

65525760 is an abundant number, since it is smaller than the sum of its proper divisors (172311840).

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

65525760 is an equidigital number, since it uses as much as digits as its factorization.

65525760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 65525760 is about 8094.7983297918. The cubic root of 65525760 is about 403.1537361884.

It can be divided in two parts, 65 and 525760, that added together give a triangular number (525825 = T₁₀₂₅).

The spelling of 65525760 in words is "sixty-five million, five hundred twenty-five thousand, seven hundred sixty".