215311040 has 112 divisors (see below), whose sum is σ = 616915200. Its totient is φ = 69921792.

The previous prime is 215311009. The next prime is 215311043. The reversal of 215311040 is 40113512.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (215311043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40031 + ... + 45089.

Almost surely, 2^215311040 is an apocalyptic number.

215311040 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 215311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308457600).

215311040 is an abundant number, since it is smaller than the sum of its proper divisors (401604160).

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

215311040 is a wasteful number, since it uses less digits than its factorization.

215311040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5102 (or 5092 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 215311040 is about 14673.4808413001. The cubic root of 215311040 is about 599.3613946205.

Adding to 215311040 its reverse (40113512), we get a palindrome (255424552).

The spelling of 215311040 in words is "two hundred fifteen million, three hundred eleven thousand, forty".