213813040 has 80 divisors (see below), whose sum is σ = 571392000. Its totient is φ = 72887040.

The previous prime is 213813007. The next prime is 213813049. The reversal of 213813040 is 40318312.

213813040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (213813049) 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, 105961 + ... + 107959.

It is an arithmetic number, because the mean of its divisors is an integer number (7142400).

Almost surely, 2^213813040 is an apocalyptic number.

213813040 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 213813040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285696000).

213813040 is an abundant number, since it is smaller than the sum of its proper divisors (357578960).

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

213813040 is a wasteful number, since it uses less digits than its factorization.

213813040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2210 (or 2204 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 213813040 is about 14622.3472807891. The cubic root of 213813040 is about 597.9681642094.

The spelling of 213813040 in words is "two hundred thirteen million, eight hundred thirteen thousand, forty".