216347040 has 432 divisors, whose sum is σ = 920844288. Its totient is φ = 45287424.

The previous prime is 216347023. The next prime is 216347051. The reversal of 216347040 is 40743612.

216347040 is a `hidden beast` number, since 21 + 634 + 7 + 0 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 216346995 and 216347013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1703457 + ... + 1703583.

It is an arithmetic number, because the mean of its divisors is an integer number (2131584).

Almost surely, 2^216347040 is an apocalyptic number.

216347040 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 216347040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460422144).

216347040 is an abundant number, since it is smaller than the sum of its proper divisors (704497248).

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

216347040 is a wasteful number, since it uses less digits than its factorization.

216347040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 216347040 is about 14708.7402587713. The cubic root of 216347040 is about 600.3211613949.

The spelling of 216347040 in words is "two hundred sixteen million, three hundred forty-seven thousand, forty".