216161400 has 384 divisors, whose sum is σ = 854945280. Its totient is φ = 43960320.

The previous prime is 216161377. The next prime is 216161411. The reversal of 216161400 is 4161612.

216161400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2020147 + ... + 2020253.

It is an arithmetic number, because the mean of its divisors is an integer number (2226420).

Almost surely, 2^216161400 is an apocalyptic number.

216161400 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 216161400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427472640).

216161400 is an abundant number, since it is smaller than the sum of its proper divisors (638783880).

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

216161400 is a wasteful number, since it uses less digits than its factorization.

216161400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 216161400 is about 14702.4283708509. The cubic root of 216161400 is about 600.1494072372.

The spelling of 216161400 in words is "two hundred sixteen million, one hundred sixty-one thousand, four hundred".