214140576 has 144 divisors (see below), whose sum is σ = 620905824. Its totient is φ = 64576512.

The previous prime is 214140541. The next prime is 214140587. The reversal of 214140576 is 675041412.

It is a super-2 number, since 2×214140576² = 91712372579223552, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1086910 + ... + 1087106.

It is an arithmetic number, because the mean of its divisors is an integer number (4311846).

Almost surely, 2^214140576 is an apocalyptic number.

214140576 is a gapful number since it is divisible by the number (26) 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 214140576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310452912).

214140576 is an abundant number, since it is smaller than the sum of its proper divisors (406765248).

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

214140576 is a wasteful number, since it uses less digits than its factorization.

214140576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 214140576 is about 14633.5428382877. The cubic root of 214140576 is about 598.2733469932.

Adding to 214140576 its reverse (675041412), we get a palindrome (889181988).

The spelling of 214140576 in words is "two hundred fourteen million, one hundred forty thousand, five hundred seventy-six".