220067400 has 192 divisors, whose sum is σ = 787092480. Its totient is φ = 49824000.

The previous prime is 220067339. The next prime is 220067413. The reversal of 220067400 is 4760022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 634027 + ... + 634373.

It is an arithmetic number, because the mean of its divisors is an integer number (4099440).

Almost surely, 2^220067400 is an apocalyptic number.

220067400 is a gapful number since it is divisible by the number (20) 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 220067400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393546240).

220067400 is an abundant number, since it is smaller than the sum of its proper divisors (567025080).

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

220067400 is a wasteful number, since it uses less digits than its factorization.

220067400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 220067400 is about 14834.6688537358. The cubic root of 220067400 is about 603.7427160282.

The spelling of 220067400 in words is "two hundred twenty million, sixty-seven thousand, four hundred".