221790960 has 140 divisors (see below), whose sum is σ = 773345592. Its totient is φ = 59128704.

The previous prime is 221790941. The next prime is 221790967. The reversal of 221790960 is 69097122.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221790967) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 56419 + ... + 60221.

Almost surely, 2^221790960 is an apocalyptic number.

221790960 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 221790960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386672796).

221790960 is an abundant number, since it is smaller than the sum of its proper divisors (551554632).

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

221790960 is an equidigital number, since it uses as much as digits as its factorization.

221790960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3834 (or 3813 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 221790960 is about 14892.6478505335. The cubic root of 221790960 is about 605.3147828005.

The spelling of 221790960 in words is "two hundred twenty-one million, seven hundred ninety thousand, nine hundred sixty".