213421040 has 80 divisors (see below), whose sum is σ = 580343808. Its totient is φ = 71463168.

The previous prime is 213421037. The next prime is 213421067. The reversal of 213421040 is 40124312.

213421040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×213421040³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19649 + ... + 28511.

Almost surely, 2^213421040 is an apocalyptic number.

213421040 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 213421040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290171904).

213421040 is an abundant number, since it is smaller than the sum of its proper divisors (366922768).

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

213421040 is a wasteful number, since it uses less digits than its factorization.

213421040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8926 (or 8920 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 213421040 is about 14608.9369907601. The cubic root of 213421040 is about 597.6025068786.

Adding to 213421040 its reverse (40124312), we get a palindrome (253545352).

The spelling of 213421040 in words is "two hundred thirteen million, four hundred twenty-one thousand, forty".