84294000 has 320 divisors, whose sum is σ = 346644480. Its totient is φ = 19180800.

The previous prime is 84293999. The next prime is 84294017. The reversal of 84294000 is 49248.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 377889 + ... + 378111.

It is an arithmetic number, because the mean of its divisors is an integer number (1083264).

Almost surely, 2^84294000 is an apocalyptic number.

84294000 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 84294000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173322240).

84294000 is an abundant number, since it is smaller than the sum of its proper divisors (262350480).

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

84294000 is a wasteful number, since it uses less digits than its factorization.

84294000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 84294000 is about 9181.1763952121. The cubic root of 84294000 is about 438.4622629436.

The spelling of 84294000 in words is "eighty-four million, two hundred ninety-four thousand".