216609120 has 768 divisors, whose sum is σ = 1016064000. Its totient is φ = 41803776.

The previous prime is 216609083. The next prime is 216609157. The reversal of 216609120 is 21906612.

It is an interprime number because it is at equal distance from previous prime (216609083) and next prime (216609157).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7469266 + ... + 7469294.

It is an arithmetic number, because the mean of its divisors is an integer number (1323000).

Almost surely, 2^216609120 is an apocalyptic number.

216609120 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 216609120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508032000).

216609120 is an abundant number, since it is smaller than the sum of its proper divisors (799454880).

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

216609120 is a wasteful number, since it uses less digits than its factorization.

216609120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 216609120 is about 14717.6465509945. The cubic root of 216609120 is about 600.5634706690.

The spelling of 216609120 in words is "two hundred sixteen million, six hundred nine thousand, one hundred twenty".