20901600 has 108 divisors (see below), whose sum is σ = 73729656. Its totient is φ = 5571840.

The previous prime is 20901599. The next prime is 20901607. The reversal of 20901600 is 610902.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20901607) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5749 + ... + 8651.

It is an arithmetic number, because the mean of its divisors is an integer number (682682).

Almost surely, 2^20901600 is an apocalyptic number.

20901600 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 20901600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36864828).

20901600 is an abundant number, since it is smaller than the sum of its proper divisors (52828056).

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

20901600 is a wasteful number, since it uses less digits than its factorization.

20901600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2929 (or 2913 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 20901600 is about 4571.8267683717. The cubic root of 20901600 is about 275.4608251473.

The spelling of 20901600 in words is "twenty million, nine hundred one thousand, six hundred".