213423760 has 80 divisors (see below), whose sum is σ = 560053440. Its totient is φ = 74923520.

The previous prime is 213423703. The next prime is 213423767. The reversal of 213423760 is 67324312.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (213423767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21339 + ... + 29701.

It is an arithmetic number, because the mean of its divisors is an integer number (7000668).

Almost surely, 2^213423760 is an apocalyptic number.

213423760 is a gapful number since it is divisible by the number (20) 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 213423760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280026720).

213423760 is an abundant number, since it is smaller than the sum of its proper divisors (346629680).

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

213423760 is a wasteful number, since it uses less digits than its factorization.

213423760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8416 (or 8410 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 213423760 is about 14609.0300841637. The cubic root of 213423760 is about 597.6050456347.

The spelling of 213423760 in words is "two hundred thirteen million, four hundred twenty-three thousand, seven hundred sixty".