20181960 has 80 divisors (see below), whose sum is σ = 67844700. Its totient is φ = 5380992.

The previous prime is 20181949. The next prime is 20181979. The reversal of 20181960 is 6918102.

It can be written as a sum of positive squares in 2 ways, for example, as 20088324 + 93636 = 4482^2 + 306^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 126 + ... + 6354.

Almost surely, 2^20181960 is an apocalyptic number.

20181960 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 20181960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33922350).

20181960 is an abundant number, since it is smaller than the sum of its proper divisors (47662740).

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

20181960 is a wasteful number, since it uses less digits than its factorization.

20181960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6252 (or 6239 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 20181960 is about 4492.4336389089. The cubic root of 20181960 is about 272.2624701162.

The spelling of 20181960 in words is "twenty million, one hundred eighty-one thousand, nine hundred sixty".