216642560 has 176 divisors, whose sum is σ = 583640640. Its totient is φ = 76677120.

The previous prime is 216642551. The next prime is 216642563. The reversal of 216642560 is 65246612.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216642563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1653695 + ... + 1653825.

It is an arithmetic number, because the mean of its divisors is an integer number (3316140).

Almost surely, 2^216642560 is an apocalyptic number.

216642560 is a gapful number since it is divisible by the number (20) 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 216642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291820320).

216642560 is an abundant number, since it is smaller than the sum of its proper divisors (366998080).

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

216642560 is a wasteful number, since it uses less digits than its factorization.

216642560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 216642560 is about 14718.7825583504. The cubic root of 216642560 is about 600.5943739678.

The spelling of 216642560 in words is "two hundred sixteen million, six hundred forty-two thousand, five hundred sixty".