13760040 has 64 divisors (see below), whose sum is σ = 47180160. Its totient is φ = 3144960.

The previous prime is 13760029. The next prime is 13760053. The reversal of 13760040 is 4006731.

13760040 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 (21).

It is a junction number, because it is equal to n+sod(n) for n = 13759989 and 13760016.

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, 7351 + ... + 9030.

It is an arithmetic number, because the mean of its divisors is an integer number (737190).

Almost surely, 2^13760040 is an apocalyptic number.

13760040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13760040 is an abundant number, since it is smaller than the sum of its proper divisors (33420120).

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

13760040 is a wasteful number, since it uses less digits than its factorization.

13760040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16402 (or 16398 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 13760040 is about 3709.4527898330. The cubic root of 13760040 is about 239.6292887943.

Adding to 13760040 its reverse (4006731), we get a palindrome (17766771).

The spelling of 13760040 in words is "thirteen million, seven hundred sixty thousand, forty".