216005880 has 128 divisors (see below), whose sum is σ = 687813120. Its totient is φ = 54151680.

The previous prime is 216005873. The next prime is 216005971. The reversal of 216005880 is 88500612.

It is a super-4 number, since 4×216005880⁴ (a number of 34 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167719 + ... + 169001.

It is an arithmetic number, because the mean of its divisors is an integer number (5373540).

Almost surely, 2^216005880 is an apocalyptic number.

216005880 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 216005880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343906560).

216005880 is an abundant number, since it is smaller than the sum of its proper divisors (471807240).

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

216005880 is a wasteful number, since it uses less digits than its factorization.

216005880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 216005880 is about 14697.1384970000. The cubic root of 216005880 is about 600.0054443950.

The spelling of 216005880 in words is "two hundred sixteen million, five thousand, eight hundred eighty".