220641520 has 80 divisors (see below), whose sum is σ = 563544288. Its totient is φ = 79672320.

The previous prime is 220641493. The next prime is 220641523. The reversal of 220641520 is 25146022.

220641520 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 (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 220641491 and 220641500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220641523) 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, 137362 + ... + 138958.

Almost surely, 2^220641520 is an apocalyptic number.

220641520 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 220641520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281772144).

220641520 is an abundant number, since it is smaller than the sum of its proper divisors (342902768).

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

220641520 is a wasteful number, since it uses less digits than its factorization.

220641520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778 (or 1772 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 220641520 is about 14854.0068668356. The cubic root of 220641520 is about 604.2672822573.

Adding to 220641520 its reverse (25146022), we get a palindrome (245787542).

It can be divided in two parts, 220 and 641520, that multiplied together give a square (141134400 = 11880²).

The spelling of 220641520 in words is "two hundred twenty million, six hundred forty-one thousand, five hundred twenty".