32766960 has 80 divisors (see below), whose sum is σ = 102136320. Its totient is φ = 8689920.

The previous prime is 32766959. The next prime is 32766971. The reversal of 32766960 is 6966723.

It is a tau number, because it is divible by the number of its divisors (80).

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, 74421 + ... + 74859.

It is an arithmetic number, because the mean of its divisors is an integer number (1276704).

Almost surely, 2^32766960 is an apocalyptic number.

32766960 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 32766960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51068160).

32766960 is an abundant number, since it is smaller than the sum of its proper divisors (69369360).

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

32766960 is a wasteful number, since it uses less digits than its factorization.

32766960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 39.

The square root of 32766960 is about 5724.2431814171. The cubic root of 32766960 is about 319.9966145475.

The spelling of 32766960 in words is "thirty-two million, seven hundred sixty-six thousand, nine hundred sixty".