13084740 has 120 divisors (see below), whose sum is σ = 42261912. Its totient is φ = 3386880.

The previous prime is 13084727. The next prime is 13084741. The reversal of 13084740 is 4748031.

It can be written as a sum of positive squares in 4 ways, for example, as 1633284 + 11451456 = 1278^2 + 3384^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13084741) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 66322 + ... + 66518.

Almost surely, 2^13084740 is an apocalyptic number.

13084740 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 13084740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21130956).

13084740 is an abundant number, since it is smaller than the sum of its proper divisors (29177172).

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

13084740 is a wasteful number, since it uses less digits than its factorization.

13084740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 13084740 is about 3617.2835111448. The cubic root of 13084740 is about 235.6432654988.

13084740 divided by its sum of digits (27) gives a triangular number (484620 = T₉₈₄).

It can be divided in two parts, 13084 and 740, that added together give a cube (13824 = 24³).

The spelling of 13084740 in words is "thirteen million, eighty-four thousand, seven hundred forty".