213506304 has 144 divisors (see below), whose sum is σ = 627916800. Its totient is φ = 63866880.

The previous prime is 213506291. The next prime is 213506339. The reversal of 213506304 is 403605312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1072797 + ... + 1072995.

Almost surely, 2^213506304 is an apocalyptic number.

213506304 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 213506304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313958400).

213506304 is an abundant number, since it is smaller than the sum of its proper divisors (414410496).

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

213506304 is a wasteful number, since it uses less digits than its factorization.

213506304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 213506304 is about 14611.8549130492. The cubic root of 213506304 is about 597.6820791583.

The spelling of 213506304 in words is "two hundred thirteen million, five hundred six thousand, three hundred four".