32466960 has 80 divisors (see below), whose sum is σ = 111838080. Its totient is φ = 8657280.

The previous prime is 32466947. The next prime is 32466977. The reversal of 32466960 is 6966423.

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

It is a super-4 number, since 4×32466960⁴ (a number of 31 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 5356 + ... + 9675.

It is an arithmetic number, because the mean of its divisors is an integer number (1397976).

Almost surely, 2^32466960 is an apocalyptic number.

32466960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32466960 is an abundant number, since it is smaller than the sum of its proper divisors (79371120).

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

32466960 is a wasteful number, since it uses less digits than its factorization.

32466960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15053 (or 15041 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 32466960 is about 5697.9785889384. The cubic root of 32466960 is about 319.0170357415.

The spelling of 32466960 in words is "thirty-two million, four hundred sixty-six thousand, nine hundred sixty".