84954000 has 80 divisors (see below), whose sum is σ = 273911040. Its totient is φ = 22652800.

The previous prime is 84953977. The next prime is 84954013. The reversal of 84954000 is 45948.

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

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1080 + ... + 13079.

It is an arithmetic number, because the mean of its divisors is an integer number (3423888).

Almost surely, 2^84954000 is an apocalyptic number.

84954000 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 84954000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136955520).

84954000 is an abundant number, since it is smaller than the sum of its proper divisors (188957040).

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

84954000 is a wasteful number, since it uses less digits than its factorization.

84954000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14185 (or 14169 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 84954000 is about 9217.0494194183. The cubic root of 84954000 is about 439.6036375449.

Adding to 84954000 its reverse (45948), we get a palindrome (84999948).

The spelling of 84954000 in words is "eighty-four million, nine hundred fifty-four thousand".