32616960 has 160 divisors (see below), whose sum is σ = 108421632. Its totient is φ = 8355840.

The previous prime is 32616953. The next prime is 32616973. The reversal of 32616960 is 6961623.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

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, 238012 + ... + 238148.

Almost surely, 2^32616960 is an apocalyptic number.

32616960 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 32616960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54210816).

32616960 is an abundant number, since it is smaller than the sum of its proper divisors (75804672).

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

32616960 is a wasteful number, since it uses less digits than its factorization.

32616960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 32616960 is about 5711.1259835518. The cubic root of 32616960 is about 319.5075759676.

The spelling of 32616960 in words is "thirty-two million, six hundred sixteen thousand, nine hundred sixty".