32978016 has 72 divisors (see below), whose sum is σ = 97277544. Its totient is φ = 10990080.

The previous prime is 32977999. The next prime is 32978027. The reversal of 32978016 is 61087923.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5656 + ... + 9896.

It is an arithmetic number, because the mean of its divisors is an integer number (1351077).

Almost surely, 2^32978016 is an apocalyptic number.

32978016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32978016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48638772).

32978016 is an abundant number, since it is smaller than the sum of its proper divisors (64299528).

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

32978016 is an equidigital number, since it uses as much as digits as its factorization.

32978016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4266 (or 4246 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 32978016 is about 5742.6488661592. The cubic root of 32978016 is about 320.6821904754.

The spelling of 32978016 in words is "thirty-two million, nine hundred seventy-eight thousand, sixteen".