32768424 has 72 divisors (see below), whose sum is σ = 96135390. Its totient is φ = 10078848.

The previous prime is 32768419. The next prime is 32768431. The reversal of 32768424 is 42486723.

It can be written as a sum of positive squares in 3 ways, for example, as 14976900 + 17791524 = 3870^2 + 4218^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×32768424² = 2147539222887552, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10822 + ... + 13514.

Almost surely, 2^32768424 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 32768424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48067695).

32768424 is an abundant number, since it is smaller than the sum of its proper divisors (63366966).

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

32768424 is a wasteful number, since it uses less digits than its factorization.

32768424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2731 (or 2711 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 32768424 is about 5724.3710571555. The cubic root of 32768424 is about 320.0013802024.

The spelling of 32768424 in words is "thirty-two million, seven hundred sixty-eight thousand, four hundred twenty-four".