214360020 has 144 divisors (see below), whose sum is σ = 770759808. Its totient is φ = 48988800.

The previous prime is 214360019. The next prime is 214360049. The reversal of 214360020 is 20063412.

It is a happy number.

214360020 is a `hidden beast` number, since 2 + 1 + 43 + 600 + 20 = 666.

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 = 214359975 and 214360002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30870 + ... + 37170.

Almost surely, 2^214360020 is an apocalyptic number.

214360020 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 214360020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385379904).

214360020 is an abundant number, since it is smaller than the sum of its proper divisors (556399788).

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

214360020 is a wasteful number, since it uses less digits than its factorization.

214360020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6332 (or 6318 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 214360020 is about 14641.0388975646. The cubic root of 214360020 is about 598.4776406368.

The spelling of 214360020 in words is "two hundred fourteen million, three hundred sixty thousand, twenty".