84156000 has 96 divisors (see below), whose sum is σ = 275734368. Its totient is φ = 22438400.

The previous prime is 84155983. The next prime is 84156013. The reversal of 84156000 is 65148.

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 (24).

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, 8494 + ... + 15506.

It is an arithmetic number, because the mean of its divisors is an integer number (2872233).

Almost surely, 2^84156000 is an apocalyptic number.

84156000 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 84156000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137867184).

84156000 is an abundant number, since it is smaller than the sum of its proper divisors (191578368).

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

84156000 is a wasteful number, since it uses less digits than its factorization.

84156000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7041 (or 7023 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 84156000 is about 9173.6579399932. The cubic root of 84156000 is about 438.2228594194. Note that the first 3 decimals are identical.

The spelling of 84156000 in words is "eighty-four million, one hundred fifty-six thousand".