216078840 has 160 divisors (see below), whose sum is σ = 769182480. Its totient is φ = 54217728.

The previous prime is 216078829. The next prime is 216078883. The reversal of 216078840 is 48870612.

216078840 is a `hidden beast` number, since 2 + 1 + 607 + 8 + 8 + 40 = 666.

216078840 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 junction number, because it is equal to n+sod(n) for n = 216078795 and 216078804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 53119 + ... + 57041.

Almost surely, 2^216078840 is an apocalyptic number.

216078840 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 216078840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384591240).

216078840 is an abundant number, since it is smaller than the sum of its proper divisors (553103640).

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

216078840 is a wasteful number, since it uses less digits than its factorization.

216078840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3963 (or 3950 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 216078840 is about 14699.6204032621. The cubic root of 216078840 is about 600.0729911201.

The spelling of 216078840 in words is "two hundred sixteen million, seventy-eight thousand, eight hundred forty".