13769040 has 80 divisors (see below), whose sum is σ = 43175808. Its totient is φ = 3629568.

The previous prime is 13769023. The next prime is 13769059. The reversal of 13769040 is 4096731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13768989 and 13769007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24442 + ... + 24998.

Almost surely, 2^13769040 is an apocalyptic number.

13769040 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 13769040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21587904).

13769040 is an abundant number, since it is smaller than the sum of its proper divisors (29406768).

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

13769040 is a wasteful number, since it uses less digits than its factorization.

13769040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 13769040 is about 3710.6657084680. The cubic root of 13769040 is about 239.6815220138.

The spelling of 13769040 in words is "thirteen million, seven hundred sixty-nine thousand, forty".