65616480 has 240 divisors, whose sum is σ = 238203504. Its totient is φ = 17003520.

The previous prime is 65616461. The next prime is 65616487. The reversal of 65616480 is 8461656.

65616480 is a `hidden beast` number, since 6 + 5 + 6 + 1 + 648 + 0 = 666.

65616480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (65616487) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 790519 + ... + 790601.

Almost surely, 2^65616480 is an apocalyptic number.

65616480 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 65616480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119101752).

65616480 is an abundant number, since it is smaller than the sum of its proper divisors (172587024).

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

65616480 is a wasteful number, since it uses less digits than its factorization.

65616480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 65616480 is about 8100.3999901239. The cubic root of 65616480 is about 403.3397049893.

It can be divided in two parts, 6561 and 6480, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 65616480 in words is "sixty-five million, six hundred sixteen thousand, four hundred eighty".