20100960 has 288 divisors, whose sum is σ = 79252992. Its totient is φ = 4769280.

The previous prime is 20100943. The next prime is 20100991. The reversal of 20100960 is 6900102.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 427657 + ... + 427703.

It is an arithmetic number, because the mean of its divisors is an integer number (275184).

Almost surely, 2^20100960 is an apocalyptic number.

20100960 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 20100960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39626496).

20100960 is an abundant number, since it is smaller than the sum of its proper divisors (59152032).

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

20100960 is a wasteful number, since it uses less digits than its factorization.

20100960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 68 counting only the distinct ones).

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

The square root of 20100960 is about 4483.4094169505. The cubic root of 20100960 is about 271.8977412606.

The spelling of 20100960 in words is "twenty million, one hundred thousand, nine hundred sixty".