82110960 has 60 divisors (see below), whose sum is σ = 275758392. Its totient is φ = 21896064.

The previous prime is 82110953. The next prime is 82110991. The reversal of 82110960 is 6901128.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56302 + ... + 57741.

Almost surely, 2^82110960 is an apocalyptic number.

82110960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82110960 is an abundant number, since it is smaller than the sum of its proper divisors (193647432).

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

82110960 is a wasteful number, since it uses less digits than its factorization.

82110960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114062 (or 114053 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 82110960 is about 9061.5098079735. The cubic root of 82110960 is about 434.6440210935.

It can be divided in two parts, 821 and 10960, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 82110960 in words is "eighty-two million, one hundred ten thousand, nine hundred sixty".