20456960 has 80 divisors (see below), whose sum is σ = 50233392. Its totient is φ = 7987200.

The previous prime is 20456957. The next prime is 20456963. The reversal of 20456960 is 6965402.

It is an interprime number because it is at equal distance from previous prime (20456957) and next prime (20456963).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20456963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156095 + ... + 156225.

Almost surely, 2^20456960 is an apocalyptic number.

20456960 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 20456960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25116696).

20456960 is an abundant number, since it is smaller than the sum of its proper divisors (29776432).

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

20456960 is an equidigital number, since it uses as much as digits as its factorization.

20456960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 20456960 is about 4522.9370988330. The cubic root of 20456960 is about 273.4935144129.

The spelling of 20456960 in words is "twenty million, four hundred fifty-six thousand, nine hundred sixty".