13084940 has 36 divisors (see below), whose sum is σ = 30209088. Its totient is φ = 4757280.

The previous prime is 13084933. The next prime is 13084949. The reversal of 13084940 is 4948031.

13084940 = T₂₂₉ + T₂₃₀ + ... + T₄₄₈.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (13084949) 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 11 ways as a sum of consecutive naturals, for example, 284 + ... + 5123.

Almost surely, 2^13084940 is an apocalyptic number.

13084940 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 13084940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15104544).

13084940 is an abundant number, since it is smaller than the sum of its proper divisors (17124148).

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

13084940 is a wasteful number, since it uses less digits than its factorization.

13084940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5438 (or 5425 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 13084940 is about 3617.3111560937. The cubic root of 13084940 is about 235.6444660936.

The spelling of 13084940 in words is "thirteen million, eighty-four thousand, nine hundred forty".