20344896 has 252 divisors, whose sum is σ = 72511920. Its totient is φ = 5391360.

The previous prime is 20344879. The next prime is 20344901. The reversal of 20344896 is 69844302.

20344896 = 155² + 156² + ... + 401².

It is a happy number.

20344896 is a `hidden beast` number, since 203 + 448 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20344896.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1070775 + ... + 1070793.

Almost surely, 2^20344896 is an apocalyptic number.

20344896 is a gapful number since it is divisible by the number (26) 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 20344896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36255960).

20344896 is an abundant number, since it is smaller than the sum of its proper divisors (52167024).

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

20344896 is a wasteful number, since it uses less digits than its factorization.

20344896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 20344896 is about 4510.5316759779. The cubic root of 20344896 is about 272.9931971094.

The spelling of 20344896 in words is "twenty million, three hundred forty-four thousand, eight hundred ninety-six".