218672976 has 80 divisors (see below), whose sum is σ = 598691840. Its totient is φ = 68584320.

The previous prime is 218672953. The next prime is 218673041. The reversal of 218672976 is 679276812.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147921 + ... + 149391.

It is an arithmetic number, because the mean of its divisors is an integer number (7483648).

Almost surely, 2^218672976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218672976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299345920).

218672976 is an abundant number, since it is smaller than the sum of its proper divisors (380018864).

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

218672976 is a wasteful number, since it uses less digits than its factorization.

218672976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664 (or 1658 counting only the distinct ones).

The product of its digits is 508032, while the sum is 48.

The square root of 218672976 is about 14787.5953420426. The cubic root of 218672976 is about 602.4648381998.

The spelling of 218672976 in words is "two hundred eighteen million, six hundred seventy-two thousand, nine hundred seventy-six".