20719400 has 72 divisors (see below), whose sum is σ = 52248330. Its totient is φ = 7637760.

The previous prime is 20719399. The next prime is 20719411. The reversal of 20719400 is 491702.

It can be written as a sum of positive squares in 9 ways, for example, as 4831204 + 15888196 = 2198^2 + 3986^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 33494 + ... + 34106.

Almost surely, 2^20719400 is an apocalyptic number.

20719400 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 20719400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26124165).

20719400 is an abundant number, since it is smaller than the sum of its proper divisors (31528930).

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

20719400 is a wasteful number, since it uses less digits than its factorization.

20719400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 20719400 is about 4551.8567640030. The cubic root of 20719400 is about 274.6580874668.

The spelling of 20719400 in words is "twenty million, seven hundred nineteen thousand, four hundred".