13553760 has 192 divisors, whose sum is σ = 49641984. Its totient is φ = 3072000.

The previous prime is 13553753. The next prime is 13553767. The reversal of 13553760 is 6735531.

It is an interprime number because it is at equal distance from previous prime (13553753) and next prime (13553767).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13553767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89685 + ... + 89835.

It is an arithmetic number, because the mean of its divisors is an integer number (258552).

Almost surely, 2^13553760 is an apocalyptic number.

13553760 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 13553760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24820992).

13553760 is an abundant number, since it is smaller than the sum of its proper divisors (36088224).

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

13553760 is a wasteful number, since it uses less digits than its factorization.

13553760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 189 counting only the distinct ones).

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

The square root of 13553760 is about 3681.5431547111. The cubic root of 13553760 is about 238.4258083556.

It can be divided in two parts, 1355 and 3760, that added together give a palindrome (5115).

The spelling of 13553760 in words is "thirteen million, five hundred fifty-three thousand, seven hundred sixty".