32976768 has 128 divisors (see below), whose sum is σ = 98605440. Its totient is φ = 9676800.

The previous prime is 32976767. The next prime is 32976773. The reversal of 32976768 is 86767923.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32976763) 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, 156183 + ... + 156393.

It is an arithmetic number, because the mean of its divisors is an integer number (770355).

Almost surely, 2^32976768 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 32976768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49302720).

32976768 is an abundant number, since it is smaller than the sum of its proper divisors (65628672).

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

32976768 is a wasteful number, since it uses less digits than its factorization.

32976768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 264 counting only the distinct ones).

The product of its digits is 762048, while the sum is 48.

The square root of 32976768 is about 5742.5402044740. The cubic root of 32976768 is about 320.6781451903.

The spelling of 32976768 in words is "thirty-two million, nine hundred seventy-six thousand, seven hundred sixty-eight".