84966000 has 360 divisors, whose sum is σ = 338500656. Its totient is φ = 18278400.

The previous prime is 84965987. The next prime is 84966019. The reversal of 84966000 is 66948.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 4997992 + ... + 4998008.

Almost surely, 2^84966000 is an apocalyptic number.

84966000 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 84966000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169250328).

84966000 is an abundant number, since it is smaller than the sum of its proper divisors (253534656).

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

84966000 is a wasteful number, since it uses less digits than its factorization.

84966000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 84966000 is about 9217.7003639737. The cubic root of 84966000 is about 439.6243350019.

The spelling of 84966000 in words is "eighty-four million, nine hundred sixty-six thousand".