82689120 has 96 divisors (see below), whose sum is σ = 289427040. Its totient is φ = 22049280.

The previous prime is 82689119. The next prime is 82689151. The reversal of 82689120 is 2198628.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

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, 5251 + ... + 13890.

It is an arithmetic number, because the mean of its divisors is an integer number (3014865).

Almost surely, 2^82689120 is an apocalyptic number.

82689120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82689120 is an abundant number, since it is smaller than the sum of its proper divisors (206737920).

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

82689120 is a wasteful number, since it uses less digits than its factorization.

82689120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19165 (or 19151 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 82689120 is about 9093.3558161990. The cubic root of 82689120 is about 435.6617751182.

The spelling of 82689120 in words is "eighty-two million, six hundred eighty-nine thousand, one hundred twenty".