13575940 has 48 divisors (see below), whose sum is σ = 33264000. Its totient is φ = 4652256.

The previous prime is 13575907. The next prime is 13575943. The reversal of 13575940 is 4957531.

It is a super-2 number, since 2×13575940² = 368612293767200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13575896 and 13575905.

It is not an unprimeable number, because it can be changed into a prime (13575943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5871 + ... + 7849.

It is an arithmetic number, because the mean of its divisors is an integer number (693000).

Almost surely, 2^13575940 is an apocalyptic number.

13575940 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 13575940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16632000).

13575940 is an abundant number, since it is smaller than the sum of its proper divisors (19688060).

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

13575940 is a wasteful number, since it uses less digits than its factorization.

13575940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2009 (or 1993 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 34.

The square root of 13575940 is about 3684.5542471241. The cubic root of 13575940 is about 238.5557944846. Note that the first 3 decimals are identical.

The spelling of 13575940 in words is "thirteen million, five hundred seventy-five thousand, nine hundred forty".