20446920 has 192 divisors, whose sum is σ = 76068720. Its totient is φ = 4718592.

The previous prime is 20446897. The next prime is 20446957. The reversal of 20446920 is 2964402.

20446920 = T₄₀₃ + T₄₀₄ + ... + T₅₇₂.

It can be written as a sum of positive squares in 8 ways, for example, as 14424804 + 6022116 = 3798^2 + 2454^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79432 + ... + 79688.

Almost surely, 2^20446920 is an apocalyptic number.

20446920 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 20446920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38034360).

20446920 is an abundant number, since it is smaller than the sum of its proper divisors (55621800).

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

20446920 is a wasteful number, since it uses less digits than its factorization.

20446920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 20446920 is about 4521.8270643624. The cubic root of 20446920 is about 273.4487647822.

The spelling of 20446920 in words is "twenty million, four hundred forty-six thousand, nine hundred twenty".