13640000 has 140 divisors (see below), whose sum is σ = 38087808. Its totient is φ = 4800000.

The previous prime is 13639993. The next prime is 13640009. The reversal of 13640000 is 4631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13640009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 439985 + ... + 440015.

Almost surely, 2^13640000 is an apocalyptic number.

13640000 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 13640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19043904).

13640000 is an abundant number, since it is smaller than the sum of its proper divisors (24447808).

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

13640000 is an equidigital number, since it uses as much as digits as its factorization.

13640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 13640000 is about 3693.2370625239. The cubic root of 13640000 is about 238.9304256440.

Adding to 13640000 its reverse (4631), we get a palindrome (13644631).

The spelling of 13640000 in words is "thirteen million, six hundred forty thousand".