20406960 has 120 divisors (see below), whose sum is σ = 78343200. Its totient is φ = 4663296.

The previous prime is 20406941. The next prime is 20406973. The reversal of 20406960 is 6960402.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3016 + ... + 7064.

It is an arithmetic number, because the mean of its divisors is an integer number (652860).

Almost surely, 2^20406960 is an apocalyptic number.

20406960 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 20406960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39171600).

20406960 is an abundant number, since it is smaller than the sum of its proper divisors (57936240).

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

20406960 is a wasteful number, since it uses less digits than its factorization.

20406960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4075 (or 4066 counting only the distinct ones).

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

The square root of 20406960 is about 4517.4063354983. The cubic root of 20406960 is about 273.2705123656.

The spelling of 20406960 in words is "twenty million, four hundred six thousand, nine hundred sixty".