13477940 has 72 divisors (see below), whose sum is σ = 34904520. Its totient is φ = 4343808.

The previous prime is 13477939. The next prime is 13477949. The reversal of 13477940 is 4977431.

It can be written as a sum of positive squares in 4 ways, for example, as 5400976 + 8076964 = 2324^2 + 2842^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 13477940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13477949) 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 23 ways as a sum of consecutive naturals, for example, 16256 + ... + 17064.

It is an arithmetic number, because the mean of its divisors is an integer number (484785).

Almost surely, 2^13477940 is an apocalyptic number.

13477940 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 13477940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17452260).

13477940 is an abundant number, since it is smaller than the sum of its proper divisors (21426580).

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

13477940 is a wasteful number, since it uses less digits than its factorization.

13477940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 35.

The square root of 13477940 is about 3671.2314010424. The cubic root of 13477940 is about 237.9803905412.

The spelling of 13477940 in words is "thirteen million, four hundred seventy-seven thousand, nine hundred forty".