215394144 has 96 divisors (see below), whose sum is σ = 649264896. Its totient is φ = 61248000.

The previous prime is 215394143. The next prime is 215394187. The reversal of 215394144 is 441493512.

215394144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215394143) 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, 168034 + ... + 169310.

It is an arithmetic number, because the mean of its divisors is an integer number (6763176).

Almost surely, 2^215394144 is an apocalyptic number.

215394144 is a gapful number since it is divisible by the number (24) 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 215394144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324632448).

215394144 is an abundant number, since it is smaller than the sum of its proper divisors (433870752).

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

215394144 is a wasteful number, since it uses less digits than its factorization.

215394144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1548 (or 1540 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 215394144 is about 14676.3123433647. The cubic root of 215394144 is about 599.4384969099.

The spelling of 215394144 in words is "two hundred fifteen million, three hundred ninety-four thousand, one hundred forty-four".