215461960 has 64 divisors (see below), whose sum is σ = 564537600. Its totient is φ = 72473856.

The previous prime is 215461913. The next prime is 215461963. The reversal of 215461960 is 69164512.

It is not an unprimeable number, because it can be changed into a prime (215461963) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7581 + ... + 22099.

It is an arithmetic number, because the mean of its divisors is an integer number (8820900).

Almost surely, 2^215461960 is an apocalyptic number.

215461960 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 215461960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282268800).

215461960 is an abundant number, since it is smaller than the sum of its proper divisors (349075640).

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

215461960 is a wasteful number, since it uses less digits than its factorization.

215461960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14590 (or 14586 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 215461960 is about 14678.6225511797. The cubic root of 215461960 is about 599.5014005940.

The spelling of 215461960 in words is "two hundred fifteen million, four hundred sixty-one thousand, nine hundred sixty".