214387140 has 192 divisors, whose sum is σ = 708341760. Its totient is φ = 47900160.

The previous prime is 214387109. The next prime is 214387141. The reversal of 214387140 is 41783412.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 214387098 and 214387107.

It is not an unprimeable number, because it can be changed into a prime (214387141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 439977 + ... + 440463.

It is an arithmetic number, because the mean of its divisors is an integer number (3689280).

Almost surely, 2^214387140 is an apocalyptic number.

214387140 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 214387140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354170880).

214387140 is an abundant number, since it is smaller than the sum of its proper divisors (493954620).

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

214387140 is a wasteful number, since it uses less digits than its factorization.

214387140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 214387140 is about 14641.9650320577. The cubic root of 214387140 is about 598.5028785973.

The spelling of 214387140 in words is "two hundred fourteen million, three hundred eighty-seven thousand, one hundred forty".