20696400 has 90 divisors (see below), whose sum is σ = 71834750. Its totient is φ = 5518080.

The previous prime is 20696399. The next prime is 20696411. The reversal of 20696400 is 469602.

It can be written as a sum of positive squares in 3 ways, for example, as 121104 + 20575296 = 348^2 + 4536^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 726 + ... + 6474.

Almost surely, 2^20696400 is an apocalyptic number.

20696400 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 20696400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35917375).

20696400 is an abundant number, since it is smaller than the sum of its proper divisors (51138350).

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

20696400 is a wasteful number, since it uses less digits than its factorization.

20696400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5773 (or 5759 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 20696400 is about 4549.3296209442. The cubic root of 20696400 is about 274.5564198679.

The spelling of 20696400 in words is "twenty million, six hundred ninety-six thousand, four hundred".