216007680 has 352 divisors, whose sum is σ = 825350400. Its totient is φ = 48168960.

The previous prime is 216007669. The next prime is 216007681. The reversal of 216007680 is 86700612.

It is a happy number.

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 (216007681) 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, 5268460 + ... + 5268500.

Almost surely, 2^216007680 is an apocalyptic number.

216007680 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 216007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412675200).

216007680 is an abundant number, since it is smaller than the sum of its proper divisors (609342720).

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

216007680 is an equidigital number, since it uses as much as digits as its factorization.

216007680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 216007680 is about 14697.1997332825. The cubic root of 216007680 is about 600.0071110268.

The spelling of 216007680 in words is "two hundred sixteen million, seven thousand, six hundred eighty".