213260544 has 162 divisors, whose sum is σ = 715650390. Its totient is φ = 60899328.

The previous prime is 213260543. The next prime is 213260549. The reversal of 213260544 is 445062312.

213260544 is a `hidden beast` number, since 2 + 13 + 2 + 605 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 180633600 + 32626944 = 13440^2 + 5712^2 .

It is not an unprimeable number, because it can be changed into a prime (213260543) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 111952 + ... + 113840.

It is an arithmetic number, because the mean of its divisors is an integer number (4417595).

Almost surely, 2^213260544 is an apocalyptic number.

213260544 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 213260544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357825195).

213260544 is an abundant number, since it is smaller than the sum of its proper divisors (502389846).

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

213260544 is a wasteful number, since it uses less digits than its factorization.

213260544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1925 (or 1901 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 213260544 is about 14603.4428817317. The cubic root of 213260544 is about 597.4526671304.

The spelling of 213260544 in words is "two hundred thirteen million, two hundred sixty thousand, five hundred forty-four".