10003960 has 32 divisors (see below), whose sum is σ = 22602240. Its totient is φ = 3985024.

The previous prime is 10003957. The next prime is 10003999. The reversal of 10003960 is 6930001.

10003960 = T₂₅₈₁ + T₂₅₈₂ + T₂₅₈₃.

10003960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

10003960 is a modest number, since divided by 3960 gives 1000 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14994 + ... + 15646.

It is an arithmetic number, because the mean of its divisors is an integer number (706320).

Almost surely, 2^10003960 is an apocalyptic number.

10003960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10003960 is the 2583-rd centered triangular number.

It is an amenable number.

10003960 is an abundant number, since it is smaller than the sum of its proper divisors (12598280).

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

10003960 is a wasteful number, since it uses less digits than its factorization.

10003960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

The square root of 10003960 is about 3162.9037291704. The cubic root of 10003960 is about 215.4719037880.

Adding to 10003960 its reverse (6930001), we get a palindrome (16933961).

The spelling of 10003960 in words is "ten million, three thousand, nine hundred sixty".