216678140 has 96 divisors (see below), whose sum is σ = 545287680. Its totient is φ = 70753536.

The previous prime is 216678097. The next prime is 216678167. The reversal of 216678140 is 41876612.

216678140 is digitally balanced in base 3, 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 (35).

It is a self number, because there is not a number n which added to its sum of digits gives 216678140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 336659 + ... + 337301.

It is an arithmetic number, because the mean of its divisors is an integer number (5680080).

Almost surely, 2^216678140 is an apocalyptic number.

216678140 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 216678140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272643840).

216678140 is an abundant number, since it is smaller than the sum of its proper divisors (328609540).

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

216678140 is a wasteful number, since it uses less digits than its factorization.

216678140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 216678140 is about 14719.9911684756. The cubic root of 216678140 is about 600.6272514383.

The spelling of 216678140 in words is "two hundred sixteen million, six hundred seventy-eight thousand, one hundred forty".