214090240 has 160 divisors (see below), whose sum is σ = 632459520. Its totient is φ = 67682304.

The previous prime is 214090229. The next prime is 214090241. The reversal of 214090240 is 42090412.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (214090241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232501 + ... + 233419.

It is an arithmetic number, because the mean of its divisors is an integer number (3952872).

Almost surely, 2^214090240 is an apocalyptic number.

214090240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

214090240 is the 11947-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214090240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316229760).

214090240 is an abundant number, since it is smaller than the sum of its proper divisors (418369280).

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

214090240 is an equidigital number, since it uses as much as digits as its factorization.

214090240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 214090240 is about 14631.8228529462. The cubic root of 214090240 is about 598.2264665005.

The spelling of 214090240 in words is "two hundred fourteen million, ninety thousand, two hundred forty".