32768340 has 96 divisors (see below), whose sum is σ = 101122560. Its totient is φ = 7862400.

The previous prime is 32768327. The next prime is 32768381. The reversal of 32768340 is 4386723.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86271 + ... + 86649.

It is an arithmetic number, because the mean of its divisors is an integer number (1053360).

Almost surely, 2^32768340 is an apocalyptic number.

32768340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32768340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50561280).

32768340 is an abundant number, since it is smaller than the sum of its proper divisors (68354220).

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

32768340 is a wasteful number, since it uses less digits than its factorization.

32768340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 32768340 is about 5724.3637201003. The cubic root of 32768340 is about 320.0011067670.

It can be divided in two parts, 327683 and 40, that added together give a palindrome (327723).

The spelling of 32768340 in words is "thirty-two million, seven hundred sixty-eight thousand, three hundred forty".