220436964 has 144 divisors (see below), whose sum is σ = 643930560. Its totient is φ = 65370240.

The previous prime is 220436933. The next prime is 220436969. The reversal of 220436964 is 469634022.

220436964 is digitally balanced in base 2, because in such base 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 (220436969) 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, 566482 + ... + 566870.

It is an arithmetic number, because the mean of its divisors is an integer number (4471740).

Almost surely, 2^220436964 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 220436964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321965280).

220436964 is an abundant number, since it is smaller than the sum of its proper divisors (423493596).

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

220436964 is a wasteful number, since it uses less digits than its factorization.

220436964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 220436964 is about 14847.1197206731. The cubic root of 220436964 is about 604.0804864747.

The spelling of 220436964 in words is "two hundred twenty million, four hundred thirty-six thousand, nine hundred sixty-four".