13953040 has 20 divisors (see below), whose sum is σ = 32441004. Its totient is φ = 5581184.

The previous prime is 13953029. The next prime is 13953053. The reversal of 13953040 is 4035931.

It can be written as a sum of positive squares in 2 ways, for example, as 9339136 + 4613904 = 3056^2 + 2148^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 13952996 and 13953014.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 87127 + ... + 87286.

Almost surely, 2^13953040 is an apocalyptic number.

13953040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13953040 is an abundant number, since it is smaller than the sum of its proper divisors (18487964).

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

13953040 is a wasteful number, since it uses less digits than its factorization.

13953040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174426 (or 174420 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 13953040 is about 3735.3768216875. The cubic root of 13953040 is about 240.7444476951.

Adding to 13953040 its reverse (4035931), we get a palindrome (17988971).

The spelling of 13953040 in words is "thirteen million, nine hundred fifty-three thousand, forty".