14535760 has 80 divisors (see below), whose sum is σ = 36336960. Its totient is φ = 5391360.

The previous prime is 14535749. The next prime is 14535767. The reversal of 14535760 is 6753541.

14535760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×14535760² = 422576637555200, which contains 22 as substring.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14535767) 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, 110895 + ... + 111025.

It is an arithmetic number, because the mean of its divisors is an integer number (454212).

Almost surely, 2^14535760 is an apocalyptic number.

14535760 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 14535760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18168480).

14535760 is an abundant number, since it is smaller than the sum of its proper divisors (21801200).

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

14535760 is a wasteful number, since it uses less digits than its factorization.

14535760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 31.

The square root of 14535760 is about 3812.5791795057. The cubic root of 14535760 is about 244.0502449605.

The spelling of 14535760 in words is "fourteen million, five hundred thirty-five thousand, seven hundred sixty".