13377640 has 64 divisors (see below), whose sum is σ = 32348160. Its totient is φ = 4961280.

The previous prime is 13377631. The next prime is 13377643. The reversal of 13377640 is 4677331.

It is a super-2 number, since 2×13377640² = 357922503939200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13377643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69945 + ... + 70135.

It is an arithmetic number, because the mean of its divisors is an integer number (505440).

Almost surely, 2^13377640 is an apocalyptic number.

13377640 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 13377640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16174080).

13377640 is an abundant number, since it is smaller than the sum of its proper divisors (18970520).

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

13377640 is a wasteful number, since it uses less digits than its factorization.

13377640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 31.

The square root of 13377640 is about 3657.5456251426. The cubic root of 13377640 is about 237.3885867091.

The spelling of 13377640 in words is "thirteen million, three hundred seventy-seven thousand, six hundred forty".