220746864 has 160 divisors (see below), whose sum is σ = 663013120. Its totient is φ = 62705664.

The previous prime is 220746863. The next prime is 220746871. The reversal of 220746864 is 468647022.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220746863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 509592 + ... + 510024.

It is an arithmetic number, because the mean of its divisors is an integer number (4143832).

Almost surely, 2^220746864 is an apocalyptic number.

220746864 is a gapful number since it is divisible by the number (24) 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 220746864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331506560).

220746864 is an abundant number, since it is smaller than the sum of its proper divisors (442266256).

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

220746864 is a wasteful number, since it uses less digits than its factorization.

220746864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 220746864 is about 14857.5524229262. The cubic root of 220746864 is about 604.3634349134.

It can be divided in two parts, 22074686 and 4, that added together give a triangular number (22074690 = T₆₆₄₄).

The spelling of 220746864 in words is "two hundred twenty million, seven hundred forty-six thousand, eight hundred sixty-four".