18961536 has 96 divisors (see below), whose sum is σ = 55777680. Its totient is φ = 5660160.

The previous prime is 18961529. The next prime is 18961559. The reversal of 18961536 is 63516981.

It is a tau number, because it is divible by the number of its divisors (96).

Its product of digits (38880) is a multiple of the sum of its prime factors (162).

It is a junction number, because it is equal to n+sod(n) for n = 18961494 and 18961503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 282975 + ... + 283041.

Almost surely, 2^18961536 is an apocalyptic number.

18961536 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 18961536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27888840).

18961536 is an abundant number, since it is smaller than the sum of its proper divisors (36816144).

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

18961536 is an equidigital number, since it uses as much as digits as its factorization.

18961536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 83 counting only the distinct ones).

The product of its digits is 38880, while the sum is 39.

The square root of 18961536 is about 4354.4845848849. The cubic root of 18961536 is about 266.6599776100.

The spelling of 18961536 in words is "eighteen million, nine hundred sixty-one thousand, five hundred thirty-six".