215416040 has 64 divisors (see below), whose sum is σ = 565747200. Its totient is φ = 72281088.

The previous prime is 215416039. The next prime is 215416043. The reversal of 215416040 is 40614512.

It is a junction number, because it is equal to n+sod(n) for n = 215415997 and 215416015.

It is not an unprimeable number, because it can be changed into a prime (215416043) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4976 + ... + 21344.

It is an arithmetic number, because the mean of its divisors is an integer number (8839800).

Almost surely, 2^215416040 is an apocalyptic number.

215416040 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 215416040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282873600).

215416040 is an abundant number, since it is smaller than the sum of its proper divisors (350331160).

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

215416040 is a wasteful number, since it uses less digits than its factorization.

215416040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16434 (or 16430 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 215416040 is about 14677.0582883628. The cubic root of 215416040 is about 599.4588082956.

The spelling of 215416040 in words is "two hundred fifteen million, four hundred sixteen thousand, forty".