84688000 has 128 divisors (see below), whose sum is σ = 216403200. Its totient is φ = 32947200.

The previous prime is 84687983. The next prime is 84688007. The reversal of 84688000 is 88648.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (84688007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1071961 + ... + 1072039.

It is an arithmetic number, because the mean of its divisors is an integer number (1690650).

Almost surely, 2^84688000 is an apocalyptic number.

84688000 is a gapful number since it is divisible by the number (80) 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 84688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108201600).

84688000 is an abundant number, since it is smaller than the sum of its proper divisors (131715200).

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

84688000 is an equidigital number, since it uses as much as digits as its factorization.

84688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 84688000 is about 9202.6083259041. The cubic root of 84688000 is about 439.1443426120.

The spelling of 84688000 in words is "eighty-four million, six hundred eighty-eight thousand".