14961536 has 32 divisors (see below), whose sum is σ = 30018600. Its totient is φ = 7427584.

The previous prime is 14961509. The next prime is 14961563. The reversal of 14961536 is 63516941.

It is an interprime number because it is at equal distance from previous prime (14961509) and next prime (14961563).

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 14961496 and 14961505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22586 + ... + 23238.

Almost surely, 2^14961536 is an apocalyptic number.

14961536 is a gapful number since it is divisible by the number (16) 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 14961536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15009300).

14961536 is an abundant number, since it is smaller than the sum of its proper divisors (15057064).

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

14961536 is an equidigital number, since it uses as much as digits as its factorization.

14961536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 834 counting only the distinct ones).

The product of its digits is 19440, while the sum is 35.

The square root of 14961536 is about 3868.0144777392. The cubic root of 14961536 is about 246.4102261456.

The spelling of 14961536 in words is "fourteen million, nine hundred sixty-one thousand, five hundred thirty-six".