13757040 has 200 divisors, whose sum is σ = 52393968. Its totient is φ = 3317760.

The previous prime is 13757039. The next prime is 13757047. The reversal of 13757040 is 4075731.

13757040 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 super-2 number, since 2×13757040² = 378512299123200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13756995 and 13757013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13757047) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 71184 + ... + 71376.

Almost surely, 2^13757040 is an apocalyptic number.

13757040 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 13757040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26196984).

13757040 is an abundant number, since it is smaller than the sum of its proper divisors (38636928).

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

13757040 is a wasteful number, since it uses less digits than its factorization.

13757040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 13757040 is about 3709.0483954783. The cubic root of 13757040 is about 239.6118726599.

The spelling of 13757040 in words is "thirteen million, seven hundred fifty-seven thousand, forty".