216995040 has 144 divisors (see below), whose sum is σ = 764539776. Its totient is φ = 55987200.

The previous prime is 216995033. The next prime is 216995069. The reversal of 216995040 is 40599612.

216995040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 216994986 and 216995004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42210 + ... + 47070.

It is an arithmetic number, because the mean of its divisors is an integer number (5309304).

Almost surely, 2^216995040 is an apocalyptic number.

216995040 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 216995040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382269888).

216995040 is an abundant number, since it is smaller than the sum of its proper divisors (547544736).

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

216995040 is a wasteful number, since it uses less digits than its factorization.

216995040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4913 (or 4902 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 216995040 is about 14730.7515083243. The cubic root of 216995040 is about 600.9199221845.

The spelling of 216995040 in words is "two hundred sixteen million, nine hundred ninety-five thousand, forty".