32122464 has 96 divisors (see below), whose sum is σ = 96888960. Its totient is φ = 9216000.

The previous prime is 32122457. The next prime is 32122487. The reversal of 32122464 is 46422123.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 19264 + ... + 20864.

It is an arithmetic number, because the mean of its divisors is an integer number (1009260).

Almost surely, 2^32122464 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 32122464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48444480).

32122464 is an abundant number, since it is smaller than the sum of its proper divisors (64766496).

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

32122464 is a wasteful number, since it uses less digits than its factorization.

32122464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644 (or 1636 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 32122464 is about 5667.6683036325. The cubic root of 32122464 is about 317.8846937674.

Adding to 32122464 its reverse (46422123), we get a palindrome (78544587).

The spelling of 32122464 in words is "thirty-two million, one hundred twenty-two thousand, four hundred sixty-four".