214682040 has 96 divisors (see below), whose sum is σ = 704246400. Its totient is φ = 56712960.

The previous prime is 214682021. The next prime is 214682047. The reversal of 214682040 is 40286412.

214682040 = T₂₁₉ + T₂₂₀ + ... + T₁₀₉₀.

It is a junction number, because it is equal to n+sod(n) for n = 214681995 and 214682013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214682047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36505 + ... + 41975.

It is an arithmetic number, because the mean of its divisors is an integer number (7335900).

Almost surely, 2^214682040 is an apocalyptic number.

214682040 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 214682040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352123200).

214682040 is an abundant number, since it is smaller than the sum of its proper divisors (489564360).

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

214682040 is a wasteful number, since it uses less digits than its factorization.

214682040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5597 (or 5590 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 214682040 is about 14652.0319409971. The cubic root of 214682040 is about 598.7771761963. Note that the first 3 decimals are identical.

The spelling of 214682040 in words is "two hundred fourteen million, six hundred eighty-two thousand, forty".