214611540 has 96 divisors (see below), whose sum is σ = 705995136. Its totient is φ = 48023040.

The previous prime is 214611539. The next prime is 214611557. The reversal of 214611540 is 45116412.

It is a happy number.

214611540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×214611540² = 92116226202343200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 214611540.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3927 + ... + 21086.

It is an arithmetic number, because the mean of its divisors is an integer number (7354116).

Almost surely, 2^214611540 is an apocalyptic number.

214611540 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 214611540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352997568).

214611540 is an abundant number, since it is smaller than the sum of its proper divisors (491383596).

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

214611540 is a wasteful number, since it uses less digits than its factorization.

214611540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25049 (or 25047 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 214611540 is about 14649.6259337909. The cubic root of 214611540 is about 598.7116243494.

Adding to 214611540 its reverse (45116412), we get a palindrome (259727952).

The spelling of 214611540 in words is "two hundred fourteen million, six hundred eleven thousand, five hundred forty".