13875460 has 24 divisors (see below), whose sum is σ = 29307096. Its totient is φ = 5518080.

The previous prime is 13875457. The next prime is 13875461. The reversal of 13875460 is 6457831.

It can be written as a sum of positive squares in 4 ways, for example, as 391876 + 13483584 = 626^2 + 3672^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (13875461) 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 7 ways as a sum of consecutive naturals, for example, 1704 + ... + 5536.

It is an arithmetic number, because the mean of its divisors is an integer number (1221129).

Almost surely, 2^13875460 is an apocalyptic number.

13875460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13875460 is an abundant number, since it is smaller than the sum of its proper divisors (15431636).

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

13875460 is a wasteful number, since it uses less digits than its factorization.

13875460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4023 (or 4021 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 13875460 is about 3724.9778522832. The cubic root of 13875460 is about 240.2974321658.

It can be divided in two parts, 138754 and 60, that multiplied together give a triangular number (8325240 = T₄₀₈₀).

The spelling of 13875460 in words is "thirteen million, eight hundred seventy-five thousand, four hundred sixty".