32419968 has 96 divisors (see below), whose sum is σ = 100233360. Its totient is φ = 9257472.

The previous prime is 32419967. The next prime is 32419987. The reversal of 32419968 is 86991423.

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 (42).

It is not an unprimeable number, because it can be changed into a prime (32419967) 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 11 ways as a sum of consecutive naturals, for example, 17955 + ... + 19677.

Almost surely, 2^32419968 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 32419968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50116680).

32419968 is an abundant number, since it is smaller than the sum of its proper divisors (67813392).

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

32419968 is a wasteful number, since it uses less digits than its factorization.

32419968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754 (or 1735 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The square root of 32419968 is about 5693.8535281477. The cubic root of 32419968 is about 318.8630485594.

The spelling of 32419968 in words is "thirty-two million, four hundred nineteen thousand, nine hundred sixty-eight".