32625648 has 120 divisors (see below), whose sum is σ = 102136320. Its totient is φ = 9636480.

The previous prime is 32625631. The next prime is 32625673. The reversal of 32625648 is 84652623.

32625648 is a `hidden beast` number, since 3 + 2 + 6 + 2 + 5 + 648 = 666.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67873 + ... + 68351.

It is an arithmetic number, because the mean of its divisors is an integer number (851136).

Almost surely, 2^32625648 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 32625648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51068160).

32625648 is an abundant number, since it is smaller than the sum of its proper divisors (69510672).

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

32625648 is a wasteful number, since it uses less digits than its factorization.

32625648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 538 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 32625648 is about 5711.8865534953. The cubic root of 32625648 is about 319.5359419403.

The spelling of 32625648 in words is "thirty-two million, six hundred twenty-five thousand, six hundred forty-eight".