84164140 has 48 divisors (see below), whose sum is σ = 181238400. Its totient is φ = 32820480.

The previous prime is 84164131. The next prime is 84164147. The reversal of 84164140 is 4146148.

It is a junction number, because it is equal to n+sod(n) for n = 84164099 and 84164108.

It is not an unprimeable number, because it can be changed into a prime (84164147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181549 + ... + 182011.

It is an arithmetic number, because the mean of its divisors is an integer number (3775800).

Almost surely, 2^84164140 is an apocalyptic number.

It is an amenable number.

84164140 is an abundant number, since it is smaller than the sum of its proper divisors (97074260).

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

84164140 is a wasteful number, since it uses less digits than its factorization.

84164140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 84164140 is about 9174.1015908916. The cubic root of 84164140 is about 438.2369880182.

The spelling of 84164140 in words is "eighty-four million, one hundred sixty-four thousand, one hundred forty".