220829616 has 240 divisors, whose sum is σ = 752713728. Its totient is φ = 59097600.

The previous prime is 220829597. The next prime is 220829617. The reversal of 220829616 is 616928022.

It is a happy number.

220829616 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (220829617) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1156081 + ... + 1156271.

Almost surely, 2^220829616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220829616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376356864).

220829616 is an abundant number, since it is smaller than the sum of its proper divisors (531884112).

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

220829616 is a wasteful number, since it uses less digits than its factorization.

220829616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 220829616 is about 14860.3370082916. The cubic root of 220829616 is about 604.4389452875.

It can be divided in two parts, 220829 and 616, that added together give a triangular number (221445 = T₆₆₅).

The spelling of 220829616 in words is "two hundred twenty million, eight hundred twenty-nine thousand, six hundred sixteen".