215346040 has 128 divisors (see below), whose sum is σ = 605928960. Its totient is φ = 67060224.

The previous prime is 215346037. The next prime is 215346077. The reversal of 215346040 is 40643512.

It is a junction number, because it is equal to n+sod(n) for n = 215345996 and 215346014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243439 + ... + 244321.

It is an arithmetic number, because the mean of its divisors is an integer number (4733820).

Almost surely, 2^215346040 is an apocalyptic number.

215346040 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 215346040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302964480).

215346040 is an abundant number, since it is smaller than the sum of its proper divisors (390582920).

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

215346040 is a wasteful number, since it uses less digits than its factorization.

215346040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 215346040 is about 14674.6734205569. The cubic root of 215346040 is about 599.3938693638.

Adding to 215346040 its reverse (40643512), we get a palindrome (255989552).

The spelling of 215346040 in words is "two hundred fifteen million, three hundred forty-six thousand, forty".