213989760 has 192 divisors, whose sum is σ = 748500480. Its totient is φ = 56328192.

The previous prime is 213989747. The next prime is 213989771. The reversal of 213989760 is 67989312.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 558529 + ... + 558911.

It is an arithmetic number, because the mean of its divisors is an integer number (3898440).

Almost surely, 2^213989760 is an apocalyptic number.

213989760 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 213989760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374250240).

213989760 is an abundant number, since it is smaller than the sum of its proper divisors (534510720).

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

213989760 is a wasteful number, since it uses less digits than its factorization.

213989760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 213989760 is about 14628.3888381462. The cubic root of 213989760 is about 598.1328623554.

The spelling of 213989760 in words is "two hundred thirteen million, nine hundred eighty-nine thousand, seven hundred sixty".