215120040 has 96 divisors (see below), whose sum is σ = 685666080. Its totient is φ = 53982208.

The previous prime is 215120039. The next prime is 215120041. The reversal of 215120040 is 40021512.

It is an interprime number because it is at equal distance from previous prime (215120039) and next prime (215120041).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (215120041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31579 + ... + 37781.

It is an arithmetic number, because the mean of its divisors is an integer number (7142355).

Almost surely, 2^215120040 is an apocalyptic number.

215120040 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 215120040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342833040).

215120040 is an abundant number, since it is smaller than the sum of its proper divisors (470546040).

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

215120040 is a wasteful number, since it uses less digits than its factorization.

215120040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6251 (or 6230 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 215120040 is about 14666.9710574474. The cubic root of 215120040 is about 599.1841132732.

Adding to 215120040 its reverse (40021512), we get a palindrome (255141552).

The spelling of 215120040 in words is "two hundred fifteen million, one hundred twenty thousand, forty".