13634740 has 36 divisors (see below), whose sum is σ = 33310116. Its totient is φ = 4674432.

The previous prime is 13634717. The next prime is 13634743. The reversal of 13634740 is 4743631.

It can be written as a sum of positive squares in 2 ways, for example, as 6853924 + 6780816 = 2618^2 + 2604^2 .

It is a super-2 number, since 2×13634740² = 371812269735200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 13634699 and 13634708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13634743) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5977 + ... + 7936.

It is an arithmetic number, because the mean of its divisors is an integer number (925281).

Almost surely, 2^13634740 is an apocalyptic number.

13634740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13634740 is an abundant number, since it is smaller than the sum of its proper divisors (19675376).

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

13634740 is a wasteful number, since it uses less digits than its factorization.

13634740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13936 (or 13927 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 13634740 is about 3692.5248814328. The cubic root of 13634740 is about 238.8997087422.

The spelling of 13634740 in words is "thirteen million, six hundred thirty-four thousand, seven hundred forty".