213062304 has 192 divisors, whose sum is σ = 712938240. Its totient is φ = 54254592.

The previous prime is 213062303. The next prime is 213062321. The reversal of 213062304 is 403260312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213062303) 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 31 ways as a sum of consecutive naturals, for example, 7346962 + ... + 7346990.

It is an arithmetic number, because the mean of its divisors is an integer number (3713220).

Almost surely, 2^213062304 is an apocalyptic number.

213062304 is a gapful number since it is divisible by the number (24) 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 213062304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356469120).

213062304 is an abundant number, since it is smaller than the sum of its proper divisors (499875936).

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

213062304 is an equidigital number, since it uses as much as digits as its factorization.

213062304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 213062304 is about 14596.6538631290. The cubic root of 213062304 is about 597.2674856110.

The spelling of 213062304 in words is "two hundred thirteen million, sixty-two thousand, three hundred four".