13770864 has 80 divisors (see below), whose sum is σ = 39997440. Its totient is φ = 4536000.

The previous prime is 13770863. The next prime is 13770929. The reversal of 13770864 is 46807731.

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 (13770863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54739 + ... + 54989.

It is an arithmetic number, because the mean of its divisors is an integer number (499968).

Almost surely, 2^13770864 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 13770864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19998720).

13770864 is an abundant number, since it is smaller than the sum of its proper divisors (26226576).

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

13770864 is a wasteful number, since it uses less digits than its factorization.

13770864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 383 counting only the distinct ones).

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

The square root of 13770864 is about 3710.9114783298. The cubic root of 13770864 is about 239.6921051721.

The spelling of 13770864 in words is "thirteen million, seven hundred seventy thousand, eight hundred sixty-four".