65710080 has 288 divisors, whose sum is σ = 245306880. Its totient is φ = 16220160.

The previous prime is 65710061. The next prime is 65710081. The reversal of 65710080 is 8001756.

65710080 is a `hidden beast` number, since 657 + 1 + 0 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×65710080² = 8635629227212800, which contains 22 as substring.

It is a nialpdrome in base 4.

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (65710081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2119665 + ... + 2119695.

It is an arithmetic number, because the mean of its divisors is an integer number (851760).

Almost surely, 2^65710080 is an apocalyptic number.

65710080 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 65710080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122653440).

65710080 is an abundant number, since it is smaller than the sum of its proper divisors (179596800).

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

65710080 is a wasteful number, since it uses less digits than its factorization.

65710080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 65710080 is about 8106.1754237125. The cubic root of 65710080 is about 403.5313979888.

The spelling of 65710080 in words is "sixty-five million, seven hundred ten thousand, eighty".