65630880 has 288 divisors, whose sum is σ = 271724544. Its totient is φ = 14082048.

The previous prime is 65630843. The next prime is 65630881. The reversal of 65630880 is 8803656.

65630880 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 (288).

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

It is not an unprimeable number, because it can be changed into a prime (65630881) 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 47 ways as a sum of consecutive naturals, for example, 171169 + ... + 171551.

It is an arithmetic number, because the mean of its divisors is an integer number (943488).

Almost surely, 2^65630880 is an apocalyptic number.

65630880 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 65630880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135862272).

65630880 is an abundant number, since it is smaller than the sum of its proper divisors (206093664).

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

65630880 is a wasteful number, since it uses less digits than its factorization.

65630880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 417 counting only the distinct ones).

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

The square root of 65630880 is about 8101.2887863599. The cubic root of 65630880 is about 403.3692080802.

The spelling of 65630880 in words is "sixty-five million, six hundred thirty thousand, eight hundred eighty".