213643040 has 72 divisors (see below), whose sum is σ = 546612948. Its totient is φ = 78873600.

The previous prime is 213643039. The next prime is 213643043. The reversal of 213643040 is 40346312.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 35473936 + 178169104 = 5956^2 + 13348^2 .

It is a junction number, because it is equal to n+sod(n) for n = 213642997 and 213643015.

It is not an unprimeable number, because it can be changed into a prime (213643043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23090 + ... + 30990.

Almost surely, 2^213643040 is an apocalyptic number.

213643040 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 213643040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273306474).

213643040 is an abundant number, since it is smaller than the sum of its proper divisors (332969908).

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

213643040 is a wasteful number, since it uses less digits than its factorization.

213643040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7942 (or 7921 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 213643040 is about 14616.5331046729. The cubic root of 213643040 is about 597.8096432554.

Adding to 213643040 its reverse (40346312), we get a palindrome (253989352).

The spelling of 213643040 in words is "two hundred thirteen million, six hundred forty-three thousand, forty".