20946120 has 128 divisors (see below), whose sum is σ = 70156800. Its totient is φ = 4967424.

The previous prime is 20946103. The next prime is 20946127. The reversal of 20946120 is 2164902.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (20946127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45009 + ... + 45471.

It is an arithmetic number, because the mean of its divisors is an integer number (548100).

Almost surely, 2^20946120 is an apocalyptic number.

20946120 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 20946120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35078400).

20946120 is an abundant number, since it is smaller than the sum of its proper divisors (49210680).

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

20946120 is a wasteful number, since it uses less digits than its factorization.

20946120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 20946120 is about 4576.6931293238. The cubic root of 20946120 is about 275.6562618476.

The spelling of 20946120 in words is "twenty million, nine hundred forty-six thousand, one hundred twenty".