32006448 has 80 divisors (see below), whose sum is σ = 94061440. Its totient is φ = 10414656.

The previous prime is 32006419. The next prime is 32006479. The reversal of 32006448 is 84460023.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17715 + ... + 19437.

It is an arithmetic number, because the mean of its divisors is an integer number (1175768).

Almost surely, 2^32006448 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 32006448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47030720).

32006448 is an abundant number, since it is smaller than the sum of its proper divisors (62054992).

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

32006448 is a wasteful number, since it uses less digits than its factorization.

32006448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 32006448 is about 5657.4241488508. The cubic root of 32006448 is about 317.5015330490.

The spelling of 32006448 in words is "thirty-two million, six thousand, four hundred forty-eight".