214184040 has 128 divisors (see below), whose sum is σ = 741519360. Its totient is φ = 48478464.

The previous prime is 214184023. The next prime is 214184099. The reversal of 214184040 is 40481412.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 214184040.

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, 88689 + ... + 91071.

It is an arithmetic number, because the mean of its divisors is an integer number (5793120).

Almost surely, 2^214184040 is an apocalyptic number.

214184040 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 214184040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370759680).

214184040 is an abundant number, since it is smaller than the sum of its proper divisors (527335320).

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

214184040 is a wasteful number, since it uses less digits than its factorization.

214184040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2511 (or 2507 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 214184040 is about 14635.0278441826. The cubic root of 214184040 is about 598.3138213304.

The spelling of 214184040 in words is "two hundred fourteen million, one hundred eighty-four thousand, forty".