214053120 has 216 divisors, whose sum is σ = 784883736. Its totient is φ = 53673984.

The previous prime is 214053113. The next prime is 214053131. The reversal of 214053120 is 21350412.

It can be written as a sum of positive squares in 4 ways, for example, as 110502144 + 103550976 = 10512^2 + 10176^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 214053093 and 214053102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195294 + ... + 196386.

It is an arithmetic number, because the mean of its divisors is an integer number (3633721).

Almost surely, 2^214053120 is an apocalyptic number.

214053120 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 214053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392441868).

214053120 is an abundant number, since it is smaller than the sum of its proper divisors (570830616).

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

214053120 is a wasteful number, since it uses less digits than its factorization.

214053120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 214053120 is about 14630.5543298947. The cubic root of 214053120 is about 598.1918900373.

The spelling of 214053120 in words is "two hundred fourteen million, fifty-three thousand, one hundred twenty".