32960640 has 64 divisors (see below), whose sum is σ = 105068160. Its totient is φ = 8788992.

The previous prime is 32960621. The next prime is 32960651. The reversal of 32960640 is 4606923.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 32960598 and 32960607.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6664 + ... + 10503.

It is an arithmetic number, because the mean of its divisors is an integer number (1641690).

Almost surely, 2^32960640 is an apocalyptic number.

32960640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32960640 is an abundant number, since it is smaller than the sum of its proper divisors (72107520).

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

32960640 is a wasteful number, since it uses less digits than its factorization.

32960640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17189 (or 17177 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 32960640 is about 5741.1357761335. The cubic root of 32960640 is about 320.6258584765.

The spelling of 32960640 in words is "thirty-two million, nine hundred sixty thousand, six hundred forty".