220688424 has 192 divisors, whose sum is σ = 710648640. Its totient is φ = 61102080.

The previous prime is 220688383. The next prime is 220688431. The reversal of 220688424 is 424886022.

It is a happy number.

220688424 is a `hidden beast` number, since 220 + 6 + 8 + 8 + 424 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 497947 + ... + 498389.

It is an arithmetic number, because the mean of its divisors is an integer number (3701295).

Almost surely, 2^220688424 is an apocalyptic number.

220688424 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 220688424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355324320).

220688424 is an abundant number, since it is smaller than the sum of its proper divisors (489960216).

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

220688424 is a wasteful number, since it uses less digits than its factorization.

220688424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 220688424 is about 14855.5856161916. The cubic root of 220688424 is about 604.3100976266.

The spelling of 220688424 in words is "two hundred twenty million, six hundred eighty-eight thousand, four hundred twenty-four".