213858240 has 112 divisors (see below), whose sum is σ = 681971712. Its totient is φ = 56779776.

The previous prime is 213858199. The next prime is 213858241. The reversal of 213858240 is 42858312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213858241) 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, 352017 + ... + 352623.

Almost surely, 2^213858240 is an apocalyptic number.

213858240 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 213858240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340985856).

213858240 is an abundant number, since it is smaller than the sum of its proper divisors (468113472).

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

213858240 is a wasteful number, since it uses less digits than its factorization.

213858240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 213858240 is about 14623.8927786004. The cubic root of 213858240 is about 598.0102979923.

It can be divided in two parts, 2138 and 58240, that added together give a triangular number (60378 = T₃₄₇).

The spelling of 213858240 in words is "two hundred thirteen million, eight hundred fifty-eight thousand, two hundred forty".