216146560 has 64 divisors (see below), whose sum is σ = 590555520. Its totient is φ = 74105856.

The previous prime is 216146543. The next prime is 216146569. The reversal of 216146560 is 65641612.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (216146569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19644 + ... + 28603.

It is an arithmetic number, because the mean of its divisors is an integer number (9227430).

Almost surely, 2^216146560 is an apocalyptic number.

216146560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216146560 is an abundant number, since it is smaller than the sum of its proper divisors (374408960).

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

216146560 is an equidigital number, since it uses as much as digits as its factorization.

216146560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48273 (or 48261 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 216146560 is about 14701.9236836545. The cubic root of 216146560 is about 600.1356730228.

The spelling of 216146560 in words is "two hundred sixteen million, one hundred forty-six thousand, five hundred sixty".