216070800 has 120 divisors (see below), whose sum is σ = 755115360. Its totient is φ = 52377600.

The previous prime is 216070781. The next prime is 216070801. The reversal of 216070800 is 8070612.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×216070800² = 93373181225280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (216070801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5016 + ... + 21384.

It is an arithmetic number, because the mean of its divisors is an integer number (6292628).

Almost surely, 2^216070800 is an apocalyptic number.

216070800 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 216070800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377557680).

216070800 is an abundant number, since it is smaller than the sum of its proper divisors (539044560).

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

216070800 is a wasteful number, since it uses less digits than its factorization.

216070800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16401 (or 16390 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 216070800 is about 14699.3469242684. The cubic root of 216070800 is about 600.0655483943.

The spelling of 216070800 in words is "two hundred sixteen million, seventy thousand, eight hundred".