961638 has 16 divisors (see below), whose sum is σ = 1947456. Its totient is φ = 316520.

The previous prime is 961637. The next prime is 961643. The reversal of 961638 is 836169.

It is an Ulam number.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 961599 and 961608.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 961638.

It is not an unprimeable number, because it can be changed into a prime (961633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 468 + ... + 1463.

It is an arithmetic number, because the mean of its divisors is an integer number (121716).

2⁹⁶¹⁶³⁸ is an apocalyptic number.

961638 is an abundant number, since it is smaller than the sum of its proper divisors (985818).

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

961638 is a wasteful number, since it uses less digits than its factorization.

961638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2019.

The product of its digits is 7776, while the sum is 33.

The square root of 961638 is about 980.6314292332. The cubic root of 961638 is about 98.7045574177.

The spelling of 961638 in words is "nine hundred sixty-one thousand, six hundred thirty-eight".