214116780 has 96 divisors (see below), whose sum is σ = 630330624. Its totient is φ = 54238464.

The previous prime is 214116779. The next prime is 214116787. The reversal of 214116780 is 87611412.

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

It is not an unprimeable number, because it can be changed into a prime (214116787) 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 31 ways as a sum of consecutive naturals, for example, 94339 + ... + 96581.

It is an arithmetic number, because the mean of its divisors is an integer number (6565944).

Almost surely, 2^214116780 is an apocalyptic number.

214116780 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 214116780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315165312).

214116780 is an abundant number, since it is smaller than the sum of its proper divisors (416213844).

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

214116780 is a wasteful number, since it uses less digits than its factorization.

214116780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2335 (or 2333 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 214116780 is about 14632.7297521686. The cubic root of 214116780 is about 598.2511854764.

The spelling of 214116780 in words is "two hundred fourteen million, one hundred sixteen thousand, seven hundred eighty".