214083540 has 192 divisors, whose sum is σ = 758661120. Its totient is φ = 49610880.

The previous prime is 214083511. The next prime is 214083577. The reversal of 214083540 is 45380412.

214083540 is a `hidden beast` number, since 2 + 1 + 40 + 83 + 540 = 666.

214083540 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 135837 + ... + 137403.

It is an arithmetic number, because the mean of its divisors is an integer number (3951360).

Almost surely, 2^214083540 is an apocalyptic number.

214083540 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 214083540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379330560).

214083540 is an abundant number, since it is smaller than the sum of its proper divisors (544577580).

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

214083540 is a wasteful number, since it uses less digits than its factorization.

214083540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1619 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 214083540 is about 14631.5938981370. The cubic root of 214083540 is about 598.2202258936.

The spelling of 214083540 in words is "two hundred fourteen million, eighty-three thousand, five hundred forty".