216677120 has 108 divisors (see below), whose sum is σ = 570889200. Its totient is φ = 78735360.

The previous prime is 216677119. The next prime is 216677147. The reversal of 216677120 is 21776612.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154181 + ... + 155579.

Almost surely, 2^216677120 is an apocalyptic number.

216677120 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 216677120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285444600).

216677120 is an abundant number, since it is smaller than the sum of its proper divisors (354212080).

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

216677120 is a wasteful number, since it uses less digits than its factorization.

216677120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1442 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 216677120 is about 14719.9565216749. The cubic root of 216677120 is about 600.6263089640.

The spelling of 216677120 in words is "two hundred sixteen million, six hundred seventy-seven thousand, one hundred twenty".