217969040 has 40 divisors (see below), whose sum is σ = 507640128. Its totient is φ = 87039360.

The previous prime is 217969013. The next prime is 217969051. The reversal of 217969040 is 40969712.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 217968985 and 217969003.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53309 + ... + 57251.

Almost surely, 2^217969040 is an apocalyptic number.

217969040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

217969040 is an abundant number, since it is smaller than the sum of its proper divisors (289671088).

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

217969040 is a wasteful number, since it uses less digits than its factorization.

217969040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4647 (or 4641 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 38.

The square root of 217969040 is about 14763.7745851120. The cubic root of 217969040 is about 601.8176730656.

The spelling of 217969040 in words is "two hundred seventeen million, nine hundred sixty-nine thousand, forty".