10011960 has 192 divisors, whose sum is σ = 38750400. Its totient is φ = 2193408.

The previous prime is 10011959. The next prime is 10011961. The reversal of 10011960 is 6911001.

It is an interprime number because it is at equal distance from previous prime (10011959) and next prime (10011961).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011961) 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, 73012 + ... + 73148.

It is an arithmetic number, because the mean of its divisors is an integer number (201825).

Almost surely, 2^10011960 is an apocalyptic number.

10011960 is a gapful number since it is divisible by the number (10) 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 10011960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19375200).

10011960 is an abundant number, since it is smaller than the sum of its proper divisors (28738440).

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

10011960 is a wasteful number, since it uses less digits than its factorization.

10011960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 10011960 is about 3164.1681371255. The cubic root of 10011960 is about 215.5293249140.

Adding to 10011960 its reverse (6911001), we get a palindrome (16922961).

The spelling of 10011960 in words is "ten million, eleven thousand, nine hundred sixty".