13953540 has 48 divisors (see below), whose sum is σ = 39247488. Its totient is φ = 3704064.

The previous prime is 13953529. The next prime is 13953601. The reversal of 13953540 is 4535931.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13953498 and 13953507.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18409 + ... + 19151.

It is an arithmetic number, because the mean of its divisors is an integer number (817656).

Almost surely, 2^13953540 is an apocalyptic number.

13953540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13953540 is an abundant number, since it is smaller than the sum of its proper divisors (25293948).

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

13953540 is a wasteful number, since it uses less digits than its factorization.

13953540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 13953540 is about 3735.4437487399. The cubic root of 13953540 is about 240.7473233119.

The spelling of 13953540 in words is "thirteen million, nine hundred fifty-three thousand, five hundred forty".