214184640 has 168 divisors, whose sum is σ = 701692272. Its totient is φ = 55347200.

The previous prime is 214184639. The next prime is 214184647. The reversal of 214184640 is 46481412.

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 = 214184598 and 214184607.

It is not an unprimeable number, because it can be changed into a prime (214184647) 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, 2120590 + ... + 2120690.

Almost surely, 2^214184640 is an apocalyptic number.

214184640 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 214184640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350846136).

214184640 is an abundant number, since it is smaller than the sum of its proper divisors (487507632).

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

214184640 is a wasteful number, since it uses less digits than its factorization.

214184640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 214184640 is about 14635.0483429335. The cubic root of 214184640 is about 598.3143800212.

The spelling of 214184640 in words is "two hundred fourteen million, one hundred eighty-four thousand, six hundred forty".