214846128 has 160 divisors (see below), whose sum is σ = 735667200. Its totient is φ = 58696704.

The previous prime is 214846117. The next prime is 214846133. The reversal of 214846128 is 821648412.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 214846092 and 214846101.

It is an unprimeable number.

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, 68008 + ... + 71096.

It is an arithmetic number, because the mean of its divisors is an integer number (4597920).

Almost surely, 2^214846128 is an apocalyptic number.

214846128 is a gapful number since it is divisible by the number (28) 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 214846128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367833600).

214846128 is an abundant number, since it is smaller than the sum of its proper divisors (520821072).

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

214846128 is a wasteful number, since it uses less digits than its factorization.

214846128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3136 (or 3124 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 214846128 is about 14657.6303678323. The cubic root of 214846128 is about 598.9296918695.

The spelling of 214846128 in words is "two hundred fourteen million, eight hundred forty-six thousand, one hundred twenty-eight".