32646768 has 160 divisors (see below), whose sum is σ = 107469312. Its totient is φ = 8363520.

The previous prime is 32646767. The next prime is 32646793. The reversal of 32646768 is 86764623.

It is a super-2 number, since 2×32646768² = 2131622921691648, which contains 22 as substring.

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.

Its product of digits (290304) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32646763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 447180 + ... + 447252.

Almost surely, 2^32646768 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 32646768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53734656).

32646768 is an abundant number, since it is smaller than the sum of its proper divisors (74822544).

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

32646768 is a wasteful number, since it uses less digits than its factorization.

32646768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 96 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The square root of 32646768 is about 5713.7350306083. The cubic root of 32646768 is about 319.6048769021.

The spelling of 32646768 in words is "thirty-two million, six hundred forty-six thousand, seven hundred sixty-eight".