213770880 has 256 divisors, whose sum is σ = 771120000. Its totient is φ = 55959552.

The previous prime is 213770873. The next prime is 213770917. The reversal of 213770880 is 88077312.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1537851 + ... + 1537989.

Almost surely, 2^213770880 is an apocalyptic number.

213770880 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 213770880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385560000).

213770880 is an abundant number, since it is smaller than the sum of its proper divisors (557349120).

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

213770880 is a wasteful number, since it uses less digits than its factorization.

213770880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 213770880 is about 14620.9055807087. The cubic root of 213770880 is about 597.9288588502.

The spelling of 213770880 in words is "two hundred thirteen million, seven hundred seventy thousand, eight hundred eighty".