20834400 has 72 divisors (see below), whose sum is σ = 67823784. Its totient is φ = 5555200.

The previous prime is 20834399. The next prime is 20834417. The reversal of 20834400 is 443802.

It is a happy number.

It is a congruent number.

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, 1941 + ... + 6740.

It is an arithmetic number, because the mean of its divisors is an integer number (941997).

Almost surely, 2^20834400 is an apocalyptic number.

20834400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20834400 is an abundant number, since it is smaller than the sum of its proper divisors (46989384).

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

20834400 is a wasteful number, since it uses less digits than its factorization.

20834400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8704 (or 8691 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 20834400 is about 4564.4714918597. The cubic root of 20834400 is about 275.1653000687.

The spelling of 20834400 in words is "twenty million, eight hundred thirty-four thousand, four hundred".