20038400 has 108 divisors (see below), whose sum is σ = 51705024. Its totient is φ = 7680000.

The previous prime is 20038373. The next prime is 20038411. The reversal of 20038400 is 483002.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 198350 + ... + 198450.

Almost surely, 2^20038400 is an apocalyptic number.

20038400 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 20038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25852512).

20038400 is an abundant number, since it is smaller than the sum of its proper divisors (31666624).

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

20038400 is a wasteful number, since it uses less digits than its factorization.

20038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 20038400 is about 4476.4271467321. The cubic root of 20038400 is about 271.6153733229.

The spelling of 20038400 in words is "twenty million, thirty-eight thousand, four hundred".