13770240 has 160 divisors (see below), whose sum is σ = 48318336. Its totient is φ = 3317760.

The previous prime is 13770233. The next prime is 13770241. The reversal of 13770240 is 4207731.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-3 number, since 3×13770240³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13770240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13770241) 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, 84399 + ... + 84561.

Almost surely, 2^13770240 is an apocalyptic number.

13770240 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 13770240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24159168).

13770240 is an abundant number, since it is smaller than the sum of its proper divisors (34548096).

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

13770240 is a wasteful number, since it uses less digits than its factorization.

13770240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 13770240 is about 3710.8274009983. The cubic root of 13770240 is about 239.6884847231.

Adding to 13770240 its reverse (4207731), we get a palindrome (17977971).

The spelling of 13770240 in words is "thirteen million, seven hundred seventy thousand, two hundred forty".