966531636 has 48 divisors (see below), whose sum is σ = 2863799680. Its totient is φ = 276151680.

The previous prime is 966531623. The next prime is 966531637. The reversal of 966531636 is 636135669.

966531636 is a `hidden beast` number, since 9 + 6 + 6 + 5 + 3 + 1 + 636 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 966531591 and 966531600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966531637) 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, 638485 + ... + 639996.

Almost surely, 2^966531636 is an apocalyptic number.

It is an amenable number.

966531636 is an abundant number, since it is smaller than the sum of its proper divisors (1897268044).

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

966531636 is a wasteful number, since it uses less digits than its factorization.

966531636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278501 (or 1278493 counting only the distinct ones).

The product of its digits is 524880, while the sum is 45.

The square root of 966531636 is about 31089.0919134027. The cubic root of 966531636 is about 988.7170525551.

It can be divided in two parts, 96653 and 1636, that added together give a palindrome (98289).

The spelling of 966531636 in words is "nine hundred sixty-six million, five hundred thirty-one thousand, six hundred thirty-six".