216157680 has 320 divisors, whose sum is σ = 821376000. Its totient is φ = 52005888.

The previous prime is 216157673. The next prime is 216157681. The reversal of 216157680 is 86751612.

216157680 is a `hidden beast` number, since 2 + 1 + 6 + 1 + 576 + 80 = 666.

216157680 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216157681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 943806 + ... + 944034.

It is an arithmetic number, because the mean of its divisors is an integer number (2566800).

Almost surely, 2^216157680 is an apocalyptic number.

216157680 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 216157680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410688000).

216157680 is an abundant number, since it is smaller than the sum of its proper divisors (605218320).

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

216157680 is a wasteful number, since it uses less digits than its factorization.

216157680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 216157680 is about 14702.3018605931. The cubic root of 216157680 is about 600.1459644877.

The spelling of 216157680 in words is "two hundred sixteen million, one hundred fifty-seven thousand, six hundred eighty".