213071040 has 448 divisors, whose sum is σ = 928542720. Its totient is φ = 44789760.

The previous prime is 213071009. The next prime is 213071041. The reversal of 213071040 is 40170312.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213071041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 786105 + ... + 786375.

It is an arithmetic number, because the mean of its divisors is an integer number (2072640).

Almost surely, 2^213071040 is an apocalyptic number.

213071040 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 213071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464271360).

213071040 is an abundant number, since it is smaller than the sum of its proper divisors (715471680).

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

213071040 is a wasteful number, since it uses less digits than its factorization.

213071040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 213071040 is about 14596.9531067274. The cubic root of 213071040 is about 597.2756485714.

The spelling of 213071040 in words is "two hundred thirteen million, seventy-one thousand, forty".