213027040 has 96 divisors (see below), whose sum is σ = 537788160. Its totient is φ = 79564800.

The previous prime is 213027029. The next prime is 213027047. The reversal of 213027040 is 40720312.

It is a junction number, because it is equal to n+sod(n) for n = 213026999 and 213027017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213027047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143100 + ... + 144580.

It is an arithmetic number, because the mean of its divisors is an integer number (5601960).

Almost surely, 2^213027040 is an apocalyptic number.

213027040 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 213027040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268894080).

213027040 is an abundant number, since it is smaller than the sum of its proper divisors (324761120).

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

213027040 is a wasteful number, since it uses less digits than its factorization.

213027040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 213027040 is about 14595.4458650635. The cubic root of 213027040 is about 597.2345324915.

Adding to 213027040 its reverse (40720312), we get a palindrome (253747352).

The spelling of 213027040 in words is "two hundred thirteen million, twenty-seven thousand, forty".