13770648 has 80 divisors (see below), whose sum is σ = 39204000. Its totient is φ = 4515264.

The previous prime is 13770637. The next prime is 13770667. The reversal of 13770648 is 84607731.

13770648 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 0 + 648 = 666.

13770648 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 a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51058 + ... + 51326.

It is an arithmetic number, because the mean of its divisors is an integer number (490050).

Almost surely, 2^13770648 is an apocalyptic number.

13770648 is a gapful number since it is divisible by the number (18) 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 13770648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19602000).

13770648 is an abundant number, since it is smaller than the sum of its proper divisors (25433352).

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

13770648 is a wasteful number, since it uses less digits than its factorization.

13770648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 353 counting only the distinct ones).

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

The square root of 13770648 is about 3710.8823748537. The cubic root of 13770648 is about 239.6908519522.

It can be divided in two parts, 13 and 770648, that added together give a triangular number (770661 = T₁₂₄₁).

The spelling of 13770648 in words is "thirteen million, seven hundred seventy thousand, six hundred forty-eight".