215679040 has 56 divisors (see below), whose sum is σ = 519424920. Its totient is φ = 85291008.

The previous prime is 215679007. The next prime is 215679041. The reversal of 215679040 is 40976512.

It can be written as a sum of positive squares in 4 ways, for example, as 54287424 + 161391616 = 7368^2 + 12704^2 .

It is a junction number, because it is equal to n+sod(n) for n = 215678987 and 215679005.

It is not an unprimeable number, because it can be changed into a prime (215679041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24694 + ... + 32266.

It is an arithmetic number, because the mean of its divisors is an integer number (9275445).

Almost surely, 2^215679040 is an apocalyptic number.

215679040 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 215679040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259712460).

215679040 is an abundant number, since it is smaller than the sum of its proper divisors (303745880).

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

215679040 is an equidigital number, since it uses as much as digits as its factorization.

215679040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7679 (or 7669 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 215679040 is about 14686.0151164296. The cubic root of 215679040 is about 599.7026674948.

The spelling of 215679040 in words is "two hundred fifteen million, six hundred seventy-nine thousand, forty".