32148864 has 192 divisors, whose sum is σ = 105019200. Its totient is φ = 9354240.

The previous prime is 32148863. The next prime is 32148869. The reversal of 32148864 is 46884123.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32148863) 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 23 ways as a sum of consecutive naturals, for example, 544867 + ... + 544925.

It is an arithmetic number, because the mean of its divisors is an integer number (546975).

Almost surely, 2^32148864 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 32148864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52509600).

32148864 is an abundant number, since it is smaller than the sum of its proper divisors (72870336).

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

32148864 is a wasteful number, since it uses less digits than its factorization.

32148864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 118 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 32148864 is about 5669.9968253959. The cubic root of 32148864 is about 317.9717549376.

Adding to 32148864 its sum of digits (36), we get a square (32148900 = 5670²).

The spelling of 32148864 in words is "thirty-two million, one hundred forty-eight thousand, eight hundred sixty-four".