32268768 has 96 divisors (see below), whose sum is σ = 99993600. Its totient is φ = 8916480.

The previous prime is 32268757. The next prime is 32268787. The reversal of 32268768 is 86786223.

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 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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20058 + ... + 21606.

It is an arithmetic number, because the mean of its divisors is an integer number (1041600).

Almost surely, 2^32268768 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 32268768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49996800).

32268768 is an abundant number, since it is smaller than the sum of its proper divisors (67724832).

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

32268768 is a wasteful number, since it uses less digits than its factorization.

32268768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600 (or 1592 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 32268768 is about 5680.5605357218. The cubic root of 32268768 is about 318.3665722505.

The spelling of 32268768 in words is "thirty-two million, two hundred sixty-eight thousand, seven hundred sixty-eight".