213504768 has 288 divisors, whose sum is σ = 706406400. Its totient is φ = 63258624.

The previous prime is 213504743. The next prime is 213504769. The reversal of 213504768 is 867405312.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (213504769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2702553 + ... + 2702631.

It is an arithmetic number, because the mean of its divisors is an integer number (2452800).

Almost surely, 2^213504768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213504768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353203200).

213504768 is an abundant number, since it is smaller than the sum of its proper divisors (492901632).

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

213504768 is a wasteful number, since it uses less digits than its factorization.

213504768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 213504768 is about 14611.8023528927. The cubic root of 213504768 is about 597.6806458800.

The spelling of 213504768 in words is "two hundred thirteen million, five hundred four thousand, seven hundred sixty-eight".