213988320 has 576 divisors, whose sum is σ = 951035904. Its totient is φ = 42577920.

The previous prime is 213988309. The next prime is 213988351. The reversal of 213988320 is 23889312.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3013885 + ... + 3013955.

It is an arithmetic number, because the mean of its divisors is an integer number (1651104).

Almost surely, 2^213988320 is an apocalyptic number.

213988320 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 213988320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475517952).

213988320 is an abundant number, since it is smaller than the sum of its proper divisors (737047584).

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

213988320 is a wasteful number, since it uses less digits than its factorization.

213988320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 213988320 is about 14628.3396186990. The cubic root of 213988320 is about 598.1315206818.

The spelling of 213988320 in words is "two hundred thirteen million, nine hundred eighty-eight thousand, three hundred twenty".