221654960 has 80 divisors (see below), whose sum is σ = 536632320. Its totient is φ = 85052160.

The previous prime is 221654947. The next prime is 221654963. The reversal of 221654960 is 69456122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 221654960.

It is not an unprimeable number, because it can be changed into a prime (221654963) 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, 344399 + ... + 345041.

It is an arithmetic number, because the mean of its divisors is an integer number (6707904).

Almost surely, 2^221654960 is an apocalyptic number.

221654960 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 221654960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268316160).

221654960 is an abundant number, since it is smaller than the sum of its proper divisors (314977360).

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

221654960 is a wasteful number, since it uses less digits than its factorization.

221654960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 221654960 is about 14888.0811389514. The cubic root of 221654960 is about 605.1910331781.

The spelling of 221654960 in words is "two hundred twenty-one million, six hundred fifty-four thousand, nine hundred sixty".