32961376 has 96 divisors (see below), whose sum is σ = 78829632. Its totient is φ = 13271040.

The previous prime is 32961373. The next prime is 32961403. The reversal of 32961376 is 67316923.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32961373) 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, 339760 + ... + 339856.

It is an arithmetic number, because the mean of its divisors is an integer number (821142).

Almost surely, 2^32961376 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 32961376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39414816).

32961376 is an abundant number, since it is smaller than the sum of its proper divisors (45868256).

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

32961376 is a wasteful number, since it uses less digits than its factorization.

32961376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 184 counting only the distinct ones).

The product of its digits is 40824, while the sum is 37.

The square root of 32961376 is about 5741.1998745907. The cubic root of 32961376 is about 320.6282449479.

The spelling of 32961376 in words is "thirty-two million, nine hundred sixty-one thousand, three hundred seventy-six".