84066000 has 80 divisors (see below), whose sum is σ = 271048128. Its totient is φ = 22416000.

The previous prime is 84065981. The next prime is 84066019. The reversal of 84066000 is 66048.

It is an interprime number because it is at equal distance from previous prime (84065981) and next prime (84066019).

It is a tau number, because it is divible by the number of its divisors (80).

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, 1006 + ... + 13005.

Almost surely, 2^84066000 is an apocalyptic number.

84066000 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 84066000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135524064).

84066000 is an abundant number, since it is smaller than the sum of its proper divisors (186982128).

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

84066000 is a wasteful number, since it uses less digits than its factorization.

84066000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14037 (or 14021 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 84066000 is about 9168.7512781185. The cubic root of 84066000 is about 438.0665856527.

The spelling of 84066000 in words is "eighty-four million, sixty-six thousand".