213007590 has 64 divisors (see below), whose sum is σ = 569949120. Its totient is φ = 56609280.

The previous prime is 213007589. The next prime is 213007633. The reversal of 213007590 is 95700312.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

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, 89820 + ... + 92160.

It is an arithmetic number, because the mean of its divisors is an integer number (8905455).

Almost surely, 2^213007590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213007590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284974560).

213007590 is an abundant number, since it is smaller than the sum of its proper divisors (356941530).

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

213007590 is a wasteful number, since it uses less digits than its factorization.

213007590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2694 (or 2688 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 213007590 is about 14594.7795461254. The cubic root of 213007590 is about 597.2163555107.

The spelling of 213007590 in words is "two hundred thirteen million, seven thousand, five hundred ninety".