216804720 has 160 divisors (see below), whose sum is σ = 751451904. Its totient is φ = 51251200.

The previous prime is 216804713. The next prime is 216804727. The reversal of 216804720 is 27408612.

216804720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (216804713) and next prime (216804727).

It is a super-2 number, since 2×216804720² = 94008573228556800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216804727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107239 + ... + 109241.

Almost surely, 2^216804720 is an apocalyptic number.

216804720 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 216804720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375725952).

216804720 is an abundant number, since it is smaller than the sum of its proper divisors (534647184).

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

216804720 is a wasteful number, since it uses less digits than its factorization.

216804720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2071 (or 2065 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 216804720 is about 14724.2901356908. The cubic root of 216804720 is about 600.7441877039.

The spelling of 216804720 in words is "two hundred sixteen million, eight hundred four thousand, seven hundred twenty".