216677400 has 96 divisors (see below), whose sum is σ = 674956800. Its totient is φ = 57500800.

The previous prime is 216677399. The next prime is 216677407. The reversal of 216677400 is 4776612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216677407) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 142645 + ... + 144155.

It is an arithmetic number, because the mean of its divisors is an integer number (7030800).

Almost surely, 2^216677400 is an apocalyptic number.

216677400 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 216677400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337478400).

216677400 is an abundant number, since it is smaller than the sum of its proper divisors (458279400).

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

216677400 is a wasteful number, since it uses less digits than its factorization.

216677400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1769 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 216677400 is about 14719.9660325695. The cubic root of 216677400 is about 600.6265676827.

The spelling of 216677400 in words is "two hundred sixteen million, six hundred seventy-seven thousand, four hundred".