961632 has 120 divisors (see below), whose sum is σ = 3293136. Its totient is φ = 269568.

The previous prime is 961627. The next prime is 961633. The reversal of 961632 is 236169.

It is a happy number.

It is a super-2 number, since 2×961632² = 1849472206848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

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

It is a junction number, because it is equal to n+sod(n) for n = 961596 and 961605.

It is a congruent number.

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

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18118 + ... + 18170.

2⁹⁶¹⁶³² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 961632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646568).

961632 is an abundant number, since it is smaller than the sum of its proper divisors (2331504).

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

961632 is a wasteful number, since it uses less digits than its factorization.

961632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 65 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 961632 is about 980.6283699751. The cubic root of 961632 is about 98.7043521330.

It can be divided in two parts, 96 and 1632, that added together give a cube (1728 = 12³).

The spelling of 961632 in words is "nine hundred sixty-one thousand, six hundred thirty-two".