32148960 has 48 divisors (see below), whose sum is σ = 101270736. Its totient is φ = 8572928.

The previous prime is 32148959. The next prime is 32148973. The reversal of 32148960 is 6984123.

32148960 = 1886² + 1887² + ... + 1894².

It is a tau number, because it is divible by the number of its divisors (48).

It is a zygodrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33009 + ... + 33968.

It is an arithmetic number, because the mean of its divisors is an integer number (2109807).

Almost surely, 2^32148960 is an apocalyptic number.

32148960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32148960 is an abundant number, since it is smaller than the sum of its proper divisors (69121776).

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

32148960 is a wasteful number, since it uses less digits than its factorization.

32148960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66995 (or 66987 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 32148960 is about 5670.0052910028. The cubic root of 32148960 is about 317.9720714367.

The spelling of 32148960 in words is "thirty-two million, one hundred forty-eight thousand, nine hundred sixty".