215360040 has 256 divisors, whose sum is σ = 786309120. Its totient is φ = 46126080.

The previous prime is 215360011. The next prime is 215360051. The reversal of 215360040 is 40063512.

It is a happy number.

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 = 215359989 and 215360016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1371642 + ... + 1371798.

It is an arithmetic number, because the mean of its divisors is an integer number (3071520).

Almost surely, 2^215360040 is an apocalyptic number.

215360040 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 215360040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393154560).

215360040 is an abundant number, since it is smaller than the sum of its proper divisors (570949080).

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

215360040 is a wasteful number, since it uses less digits than its factorization.

215360040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 215360040 is about 14675.1504251234. The cubic root of 215360040 is about 599.4068582758.

The spelling of 215360040 in words is "two hundred fifteen million, three hundred sixty thousand, forty".