20957300 has 144 divisors (see below), whose sum is σ = 58329600. Its totient is φ = 6491520.

The previous prime is 20957263. The next prime is 20957303. The reversal of 20957300 is 375902.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 20957300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20957303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 445877 + ... + 445923.

Almost surely, 2^20957300 is an apocalyptic number.

20957300 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 20957300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29164800).

20957300 is an abundant number, since it is smaller than the sum of its proper divisors (37372300).

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

20957300 is a wasteful number, since it uses less digits than its factorization.

20957300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 26.

The square root of 20957300 is about 4577.9143722879. The cubic root of 20957300 is about 275.7052970048.

The spelling of 20957300 in words is "twenty million, nine hundred fifty-seven thousand, three hundred".