217061040 has 160 divisors (see below), whose sum is σ = 785664000. Its totient is φ = 48540672.

The previous prime is 217061029. The next prime is 217061057. The reversal of 217061040 is 40160712.

217061040 is digitally balanced in base 3, 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 (21).

It is a junction number, because it is equal to n+sod(n) for n = 217060998 and 217061016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77586 + ... + 80334.

It is an arithmetic number, because the mean of its divisors is an integer number (4910400).

Almost surely, 2^217061040 is an apocalyptic number.

217061040 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 217061040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392832000).

217061040 is an abundant number, since it is smaller than the sum of its proper divisors (568602960).

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

217061040 is a wasteful number, since it uses less digits than its factorization.

217061040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2819 (or 2813 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 217061040 is about 14732.9915495801. The cubic root of 217061040 is about 600.9808401584.

The spelling of 217061040 in words is "two hundred seventeen million, sixty-one thousand, forty".