213981040 has 360 divisors, whose sum is σ = 698459760. Its totient is φ = 60383232.

The previous prime is 213981017. The next prime is 213981041. The reversal of 213981040 is 40189312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213981041) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11262151 + ... + 11262169.

It is an arithmetic number, because the mean of its divisors is an integer number (1940166).

Almost surely, 2^213981040 is an apocalyptic number.

213981040 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 213981040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349229880).

213981040 is an abundant number, since it is smaller than the sum of its proper divisors (484478720).

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

213981040 is a wasteful number, since it uses less digits than its factorization.

213981040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 213981040 is about 14628.0907845146. The cubic root of 213981040 is about 598.1247376841.

Subtracting from 213981040 its product of nonzero digits (1728), we obtain a palindrome (213979312).

The spelling of 213981040 in words is "two hundred thirteen million, nine hundred eighty-one thousand, forty".