13763640 has 64 divisors (see below), whose sum is σ = 45048960. Its totient is φ = 3336320.

The previous prime is 13763611. The next prime is 13763653. The reversal of 13763640 is 4636731.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

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 = 13763598 and 13763607.

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, 3894 + ... + 6533.

It is an arithmetic number, because the mean of its divisors is an integer number (703890).

Almost surely, 2^13763640 is an apocalyptic number.

13763640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13763640 is an abundant number, since it is smaller than the sum of its proper divisors (31285320).

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

13763640 is a wasteful number, since it uses less digits than its factorization.

13763640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10452 (or 10448 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 13763640 is about 3709.9380048729. The cubic root of 13763640 is about 239.6501848144.

The spelling of 13763640 in words is "thirteen million, seven hundred sixty-three thousand, six hundred forty".