214121616 has 80 divisors (see below), whose sum is σ = 578266560. Its totient is φ = 68185600.

The previous prime is 214121573. The next prime is 214121623. The reversal of 214121616 is 616121412.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139831 + ... + 141353.

It is an arithmetic number, because the mean of its divisors is an integer number (7228332).

Almost surely, 2^214121616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214121616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289133280).

214121616 is an abundant number, since it is smaller than the sum of its proper divisors (364144944).

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

214121616 is a wasteful number, since it uses less digits than its factorization.

214121616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664 (or 1658 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 214121616 is about 14632.8949972314. The cubic root of 214121616 is about 598.2556894375.

The spelling of 214121616 in words is "two hundred fourteen million, one hundred twenty-one thousand, six hundred sixteen".