20957600 has 144 divisors (see below), whose sum is σ = 57371328. Its totient is φ = 7434240.

The previous prime is 20957593. The next prime is 20957603. The reversal of 20957600 is 675902.

It is not an unprimeable number, because it can be changed into a prime (20957603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 312767 + ... + 312833.

It is an arithmetic number, because the mean of its divisors is an integer number (398412).

Almost surely, 2^20957600 is an apocalyptic number.

20957600 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 20957600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28685664).

20957600 is an abundant number, since it is smaller than the sum of its proper divisors (36413728).

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

20957600 is a wasteful number, since it uses less digits than its factorization.

20957600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 20957600 is about 4577.9471381832. The cubic root of 20957600 is about 275.7066125559.

The spelling of 20957600 in words is "twenty million, nine hundred fifty-seven thousand, six hundred".