213621408 has 576 divisors, whose sum is σ = 885427200. Its totient is φ = 48522240.

The previous prime is 213621391. The next prime is 213621409. The reversal of 213621408 is 804126312.

213621408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (213621409) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11243223 + ... + 11243241.

It is an arithmetic number, because the mean of its divisors is an integer number (1537200).

Almost surely, 2^213621408 is an apocalyptic number.

213621408 is a gapful number since it is divisible by the number (28) 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 213621408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442713600).

213621408 is an abundant number, since it is smaller than the sum of its proper divisors (671805792).

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

213621408 is a wasteful number, since it uses less digits than its factorization.

213621408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 213621408 is about 14615.7931019839. The cubic root of 213621408 is about 597.7894658999.

The spelling of 213621408 in words is "two hundred thirteen million, six hundred twenty-one thousand, four hundred eight".