213705180 has 144 divisors (see below), whose sum is σ = 702758784. Its totient is φ = 52254720.

The previous prime is 213705157. The next prime is 213705197. The reversal of 213705180 is 81507312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 633972 + ... + 634308.

Almost surely, 2^213705180 is an apocalyptic number.

213705180 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 213705180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351379392).

213705180 is an abundant number, since it is smaller than the sum of its proper divisors (489053604).

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

213705180 is a wasteful number, since it uses less digits than its factorization.

213705180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 213705180 is about 14618.6586251954. The cubic root of 213705180 is about 597.8675970744.

The spelling of 213705180 in words is "two hundred thirteen million, seven hundred five thousand, one hundred eighty".