65540064 has 48 divisors (see below), whose sum is σ = 179528832. Its totient is φ = 20896128.

The previous prime is 65540039. The next prime is 65540089. The reversal of 65540064 is 46004556.

65540064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (65540039) and next prime (65540089).

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 12634 + ... + 17049.

It is an arithmetic number, because the mean of its divisors is an integer number (3740184).

Almost surely, 2^65540064 is an apocalyptic number.

It is an amenable number.

65540064 is an abundant number, since it is smaller than the sum of its proper divisors (113988768).

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

65540064 is a wasteful number, since it uses less digits than its factorization.

65540064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29719 (or 29711 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 65540064 is about 8095.6818119291. The cubic root of 65540064 is about 403.1830696469.

It can be divided in two parts, 6554006 and 4, that added together give a triangular number (6554010 = T₃₆₂₀).

The spelling of 65540064 in words is "sixty-five million, five hundred forty thousand, sixty-four".