13787064 has 128 divisors (see below), whose sum is σ = 41472000. Its totient is φ = 4233600.

The previous prime is 13787041. The next prime is 13787069. The reversal of 13787064 is 46078731.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13787069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194149 + ... + 194219.

It is an arithmetic number, because the mean of its divisors is an integer number (324000).

Almost surely, 2^13787064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13787064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20736000).

13787064 is an abundant number, since it is smaller than the sum of its proper divisors (27684936).

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

13787064 is a wasteful number, since it uses less digits than its factorization.

13787064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 13787064 is about 3713.0935889094. The cubic root of 13787064 is about 239.7860593458.

The spelling of 13787064 in words is "thirteen million, seven hundred eighty-seven thousand, sixty-four".