10010960 has 60 divisors (see below), whose sum is σ = 24782268. Its totient is φ = 3760128.

The previous prime is 10010951. The next prime is 10010969. The reversal of 10010960 is 6901001.

It is an interprime number because it is at equal distance from previous prime (10010951) and next prime (10010969).

It can be written as a sum of positive squares in 6 ways, for example, as 64 + 10010896 = 8^2 + 3164^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22904 + ... + 23336.

Almost surely, 2^10010960 is an apocalyptic number.

10010960 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 10010960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12391134).

10010960 is an abundant number, since it is smaller than the sum of its proper divisors (14771308).

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

10010960 is a wasteful number, since it uses less digits than its factorization.

10010960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

The square root of 10010960 is about 3164.0101137639. The cubic root of 10010960 is about 215.5221489465.

Adding to 10010960 its reverse (6901001), we get a palindrome (16911961).

The spelling of 10010960 in words is "ten million, ten thousand, nine hundred sixty".