20956320 has 432 divisors, whose sum is σ = 94112928. Its totient is φ = 4354560.

The previous prime is 20956307. The next prime is 20956321. The reversal of 20956320 is 2365902.

20956320 is a `hidden beast` number, since 20 + 9 + 5 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20956321) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1905115 + ... + 1905125.

It is an arithmetic number, because the mean of its divisors is an integer number (217854).

Almost surely, 2^20956320 is an apocalyptic number.

20956320 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 20956320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47056464).

20956320 is an abundant number, since it is smaller than the sum of its proper divisors (73156608).

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

20956320 is a wasteful number, since it uses less digits than its factorization.

20956320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 20956320 is about 4577.8073353954. The cubic root of 20956320 is about 275.7009994505.

The spelling of 20956320 in words is "twenty million, nine hundred fifty-six thousand, three hundred twenty".