20952000 has 224 divisors, whose sum is σ = 77663040. Its totient is φ = 5529600.

The previous prime is 20951993. The next prime is 20952049. The reversal of 20952000 is 25902.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215952 + ... + 216048.

It is an arithmetic number, because the mean of its divisors is an integer number (346710).

Almost surely, 2^20952000 is an apocalyptic number.

20952000 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 20952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38831520).

20952000 is an abundant number, since it is smaller than the sum of its proper divisors (56711040).

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

20952000 is an equidigital number, since it uses as much as digits as its factorization.

20952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 20952000 is about 4577.3354694626. The cubic root of 20952000 is about 275.6820535324.

Adding to 20952000 its reverse (25902), we get a palindrome (20977902).

It can be divided in two parts, 2095 and 2000, that added together give a triangular number (4095 = T₉₀).

The spelling of 20952000 in words is "twenty million, nine hundred fifty-two thousand".