216567120 has 160 divisors (see below), whose sum is σ = 837089280. Its totient is φ = 44997120.

The previous prime is 216567107. The next prime is 216567121. The reversal of 216567120 is 21765612.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216567121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12621 + ... + 24339.

It is an arithmetic number, because the mean of its divisors is an integer number (5231808).

Almost surely, 2^216567120 is an apocalyptic number.

216567120 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 216567120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418544640).

216567120 is an abundant number, since it is smaller than the sum of its proper divisors (620522160).

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

216567120 is a wasteful number, since it uses less digits than its factorization.

216567120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11753 (or 11747 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 216567120 is about 14716.2196232592. The cubic root of 216567120 is about 600.5246522108.

The spelling of 216567120 in words is "two hundred sixteen million, five hundred sixty-seven thousand, one hundred twenty".