32341968 has 60 divisors (see below), whose sum is σ = 91690560. Its totient is φ = 10640448.

The previous prime is 32341963. The next prime is 32341987. The reversal of 32341968 is 86914323.

It is a Cunningham number, because it is equal to 5687²-1.

It is a super-2 number, since 2×32341968² = 2092005788226048, which contains 22 as substring.

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 (32341963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9955 + ... + 12797.

It is an arithmetic number, because the mean of its divisors is an integer number (1528176).

Almost surely, 2^32341968 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 32341968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45845280).

32341968 is an abundant number, since it is smaller than the sum of its proper divisors (59348592).

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

32341968 is a wasteful number, since it uses less digits than its factorization.

32341968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2936 (or 2927 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 32341968 is about 5686.9999120802. Note that the first 4 decimals coincide. The cubic root of 32341968 is about 318.6071230481.

The spelling of 32341968 in words is "thirty-two million, three hundred forty-one thousand, nine hundred sixty-eight".