32973088 has 48 divisors (see below), whose sum is σ = 68656896. Its totient is φ = 15563520.

The previous prime is 32973079. The next prime is 32973089. The reversal of 32973088 is 88037923.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 32973088.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32973089) 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, 42270 + ... + 43042.

It is an arithmetic number, because the mean of its divisors is an integer number (1430352).

Almost surely, 2^32973088 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 32973088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34328448).

32973088 is an abundant number, since it is smaller than the sum of its proper divisors (35683808).

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

32973088 is a wasteful number, since it uses less digits than its factorization.

32973088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 32973088 is about 5742.2197798412. The cubic root of 32973088 is about 320.6662161916. Note that the first 3 decimals are identical.

The spelling of 32973088 in words is "thirty-two million, nine hundred seventy-three thousand, eighty-eight".