213610672 has 40 divisors (see below), whose sum is σ = 453520080. Its totient is φ = 96660480.

The previous prime is 213610669. The next prime is 213610693. The reversal of 213610672 is 276016312.

213610672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 213610672.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38404 + ... + 43612.

It is an arithmetic number, because the mean of its divisors is an integer number (11338002).

Almost surely, 2^213610672 is an apocalyptic number.

213610672 is a gapful number since it is divisible by the number (22) 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 213610672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226760040).

213610672 is an abundant number, since it is smaller than the sum of its proper divisors (239909408).

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

213610672 is a wasteful number, since it uses less digits than its factorization.

213610672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5461 (or 5455 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 213610672 is about 14615.4258234237. The cubic root of 213610672 is about 597.7794513368.

Adding to 213610672 its reverse (276016312), we get a palindrome (489626984).

The spelling of 213610672 in words is "two hundred thirteen million, six hundred ten thousand, six hundred seventy-two".