214128616 has 64 divisors (see below), whose sum is σ = 448519680. Its totient is φ = 95208960.

The previous prime is 214128553. The next prime is 214128653. The reversal of 214128616 is 616821412.

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, 346740 + ... + 347356.

It is an arithmetic number, because the mean of its divisors is an integer number (7008120).

Almost surely, 2^214128616 is an apocalyptic number.

214128616 is a gapful number since it is divisible by the number (26) 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 214128616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224259840).

214128616 is an abundant number, since it is smaller than the sum of its proper divisors (234391064).

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

214128616 is a wasteful number, since it uses less digits than its factorization.

214128616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 750 counting only the distinct ones).

The product of its digits is 4608, while the sum is 31.

The square root of 214128616 is about 14633.1341823958. The cubic root of 214128616 is about 598.2622086986.

The spelling of 214128616 in words is "two hundred fourteen million, one hundred twenty-eight thousand, six hundred sixteen".