217076040 has 192 divisors, whose sum is σ = 743371200. Its totient is φ = 54867456.

The previous prime is 217076029. The next prime is 217076053. The reversal of 217076040 is 40670712.

It is a junction number, because it is equal to n+sod(n) for n = 217075995 and 217076013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 572571 + ... + 572949.

It is an arithmetic number, because the mean of its divisors is an integer number (3871725).

Almost surely, 2^217076040 is an apocalyptic number.

217076040 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 217076040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371685600).

217076040 is an abundant number, since it is smaller than the sum of its proper divisors (526295160).

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

217076040 is a wasteful number, since it uses less digits than its factorization.

217076040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 217076040 is about 14733.5006023687. The cubic root of 217076040 is about 600.9946834302.

It can be divided in two parts, 2170 and 76040, that added together give a triangular number (78210 = T₃₉₅).

The spelling of 217076040 in words is "two hundred seventeen million, seventy-six thousand, forty".