13735560 has 64 divisors (see below), whose sum is σ = 42638400. Its totient is φ = 3535616.

The previous prime is 13735559. The next prime is 13735567. The reversal of 13735560 is 6553731.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (13735567) 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, 1507 + ... + 5453.

It is an arithmetic number, because the mean of its divisors is an integer number (666225).

Almost surely, 2^13735560 is an apocalyptic number.

13735560 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 13735560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21319200).

13735560 is an abundant number, since it is smaller than the sum of its proper divisors (28902840).

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

13735560 is a wasteful number, since it uses less digits than its factorization.

13735560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3990 (or 3986 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 30.

The square root of 13735560 is about 3706.1516428770. The cubic root of 13735560 is about 239.4870991114.

The spelling of 13735560 in words is "thirteen million, seven hundred thirty-five thousand, five hundred sixty".