32082960 has 240 divisors, whose sum is σ = 124170624. Its totient is φ = 6709248.

The previous prime is 32082949. The next prime is 32082991. The reversal of 32082960 is 6928023.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 283864 + ... + 283976.

Almost surely, 2^32082960 is an apocalyptic number.

32082960 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 32082960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62085312).

32082960 is an abundant number, since it is smaller than the sum of its proper divisors (92087664).

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

32082960 is a wasteful number, since it uses less digits than its factorization.

32082960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 32082960 is about 5664.1822004593. The cubic root of 32082960 is about 317.7543294605.

The spelling of 32082960 in words is "thirty-two million, eighty-two thousand, nine hundred sixty".