214020560 has 80 divisors (see below), whose sum is σ = 564130560. Its totient is φ = 74856960.

The previous prime is 214020557. The next prime is 214020571. The reversal of 214020560 is 65020412.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

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, 14345 + ... + 25175.

It is an arithmetic number, because the mean of its divisors is an integer number (7051632).

Almost surely, 2^214020560 is an apocalyptic number.

214020560 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 214020560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282065280).

214020560 is an abundant number, since it is smaller than the sum of its proper divisors (350110000).

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

214020560 is a wasteful number, since it uses less digits than its factorization.

214020560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10876 (or 10870 counting only the distinct ones).

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

The square root of 214020560 is about 14629.4415477830. The cubic root of 214020560 is about 598.1615578225.

Adding to 214020560 its reverse (65020412), we get a palindrome (279040972).

The spelling of 214020560 in words is "two hundred fourteen million, twenty thousand, five hundred sixty".