216001600 has 84 divisors (see below), whose sum is σ = 536187904. Its totient is φ = 85639680.

The previous prime is 216001573. The next prime is 216001619. The reversal of 216001600 is 6100612.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 202669 + ... + 203731.

Almost surely, 2^216001600 is an apocalyptic number.

216001600 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 216001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268093952).

216001600 is an abundant number, since it is smaller than the sum of its proper divisors (320186304).

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

216001600 is a wasteful number, since it uses less digits than its factorization.

216001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 216001600 is about 14696.9928897037. The cubic root of 216001600 is about 600.0014814778.

The spelling of 216001600 in words is "two hundred sixteen million, one thousand, six hundred".