218894832 has 80 divisors (see below), whose sum is σ = 676658080. Its totient is φ = 67350528.

The previous prime is 218894831. The next prime is 218894881. The reversal of 218894832 is 238498812.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218894831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13873 + ... + 25104.

It is an arithmetic number, because the mean of its divisors is an integer number (8458226).

Almost surely, 2^218894832 is an apocalyptic number.

It is an amenable number.

218894832 is an abundant number, since it is smaller than the sum of its proper divisors (457763248).

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

218894832 is a wasteful number, since it uses less digits than its factorization.

218894832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39007 (or 38995 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 218894832 is about 14795.0948628253. The cubic root of 218894832 is about 602.6685141258.

It can be divided in two parts, 2188 and 94832, that added together give a triangular number (97020 = T₄₄₀).

The spelling of 218894832 in words is "two hundred eighteen million, eight hundred ninety-four thousand, eight hundred thirty-two".