214123520 has 88 divisors (see below), whose sum is σ = 553328664. Its totient is φ = 79036416.

The previous prime is 214123519. The next prime is 214123549. The reversal of 214123520 is 25321412.

It can be written as a sum of positive squares in 4 ways, for example, as 26543104 + 187580416 = 5152^2 + 13696^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 214123492 and 214123501.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64952 + ... + 68168.

Almost surely, 2^214123520 is an apocalyptic number.

214123520 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 214123520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276664332).

214123520 is an abundant number, since it is smaller than the sum of its proper divisors (339205144).

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

214123520 is a wasteful number, since it uses less digits than its factorization.

214123520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3255 (or 3237 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 214123520 is about 14632.9600559832. The cubic root of 214123520 is about 598.2574626906.

Adding to 214123520 its reverse (25321412), we get a palindrome (239444932).

The spelling of 214123520 in words is "two hundred fourteen million, one hundred twenty-three thousand, five hundred twenty".