20197760 has 128 divisors (see below), whose sum is σ = 55814400. Its totient is φ = 6912000.

The previous prime is 20197759. The next prime is 20197763. The reversal of 20197760 is 6779102.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20197763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133685 + ... + 133835.

It is an arithmetic number, because the mean of its divisors is an integer number (436050).

Almost surely, 2^20197760 is an apocalyptic number.

20197760 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 20197760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27907200).

20197760 is an abundant number, since it is smaller than the sum of its proper divisors (35616640).

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

20197760 is a wasteful number, since it uses less digits than its factorization.

20197760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 32.

The square root of 20197760 is about 4494.1918072107. The cubic root of 20197760 is about 272.3335009598. Note that the first 3 decimals are identical.

It can be divided in two parts, 2019 and 7760, that added together give a palindrome (9779).

The spelling of 20197760 in words is "twenty million, one hundred ninety-seven thousand, seven hundred sixty".