13084764 has 144 divisors (see below), whose sum is σ = 41260800. Its totient is φ = 3198720.

The previous prime is 13084751. The next prime is 13084777. The reversal of 13084764 is 46748031.

13084764 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13084751) and next prime (13084777).

It is a super-2 number, since 2×13084764² = 342422097871392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 769684 + ... + 769700.

Almost surely, 2^13084764 is an apocalyptic number.

13084764 is a gapful number since it is divisible by the number (14) 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 13084764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20630400).

13084764 is an abundant number, since it is smaller than the sum of its proper divisors (28176036).

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

13084764 is a wasteful number, since it uses less digits than its factorization.

13084764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 13084764 is about 3617.2868285498. The cubic root of 13084764 is about 235.6434095709.

The spelling of 13084764 in words is "thirteen million, eighty-four thousand, seven hundred sixty-four".