213990084 has 288 divisors, whose sum is σ = 754790400. Its totient is φ = 49351680.

The previous prime is 213990061. The next prime is 213990113. The reversal of 213990084 is 480099312.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 895237 + ... + 895475.

It is an arithmetic number, because the mean of its divisors is an integer number (2620800).

Almost surely, 2^213990084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213990084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377395200).

213990084 is an abundant number, since it is smaller than the sum of its proper divisors (540800316).

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

213990084 is a wasteful number, since it uses less digits than its factorization.

213990084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 213990084 is about 14628.3999124990. The cubic root of 213990084 is about 598.1331642312.

The spelling of 213990084 in words is "two hundred thirteen million, nine hundred ninety thousand, eighty-four".