213891840 has 180 divisors, whose sum is σ = 765715104. Its totient is φ = 57010176.

The previous prime is 213891827. The next prime is 213891871. The reversal of 213891840 is 48198312.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 213891795 and 213891804.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 102649 + ... + 104711.

Almost surely, 2^213891840 is an apocalyptic number.

213891840 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 213891840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382857552).

213891840 is an abundant number, since it is smaller than the sum of its proper divisors (551823264).

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

213891840 is an equidigital number, since it uses as much as digits as its factorization.

213891840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2096 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 213891840 is about 14625.0415384025. The cubic root of 213891840 is about 598.0416148338.

The spelling of 213891840 in words is "two hundred thirteen million, eight hundred ninety-one thousand, eight hundred forty".