215041920 has 128 divisors (see below), whose sum is σ = 700323840. Its totient is φ = 56100864.

The previous prime is 215041909. The next prime is 215041921. The reversal of 215041920 is 29140512.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215041921) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 89049 + ... + 91431.

It is an arithmetic number, because the mean of its divisors is an integer number (5471280).

Almost surely, 2^215041920 is an apocalyptic number.

215041920 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 215041920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350161920).

215041920 is an abundant number, since it is smaller than the sum of its proper divisors (485281920).

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

215041920 is a wasteful number, since it uses less digits than its factorization.

215041920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2452 (or 2440 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 215041920 is about 14664.3076890796. The cubic root of 215041920 is about 599.1115740370. Note that the first 3 decimals are identical.

The spelling of 215041920 in words is "two hundred fifteen million, forty-one thousand, nine hundred twenty".