220074624 has 256 divisors, whose sum is σ = 810777600. Its totient is φ = 57093120.

The previous prime is 220074623. The next prime is 220074643. The reversal of 220074624 is 426470022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (220074623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265699 + ... + 266525.

It is an arithmetic number, because the mean of its divisors is an integer number (3167100).

Almost surely, 2^220074624 is an apocalyptic number.

220074624 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 220074624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405388800).

220074624 is an abundant number, since it is smaller than the sum of its proper divisors (590702976).

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

220074624 is a wasteful number, since it uses less digits than its factorization.

220074624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 220074624 is about 14834.9123354336. The cubic root of 220074624 is about 603.7493221705.

The spelling of 220074624 in words is "two hundred twenty million, seventy-four thousand, six hundred twenty-four".