215582040 has 128 divisors (see below), whose sum is σ = 721828800. Its totient is φ = 57231360.

The previous prime is 215582021. The next prime is 215582069. The reversal of 215582040 is 40285512.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 215581995 and 215582013.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 467410 + ... + 467870.

Almost surely, 2^215582040 is an apocalyptic number.

215582040 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 215582040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360914400).

215582040 is an abundant number, since it is smaller than the sum of its proper divisors (506246760).

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

215582040 is a wasteful number, since it uses less digits than its factorization.

215582040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 215582040 is about 14682.7122834986. The cubic root of 215582040 is about 599.6127501163.

The spelling of 215582040 in words is "two hundred fifteen million, five hundred eighty-two thousand, forty".