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84942000 = 24335311213

84942000 has 480 divisors, whose sum is σ = 360185280. Its totient is φ = 19008000.

The previous prime is 84941981. The next prime is 84942001. The reversal of 84942000 is 24948.

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

It is not an unprimeable number, because it can be changed into a prime (84942001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6533994 + ... + 6534006.

It is an arithmetic number, because the mean of its divisors is an integer number (750386).

Almost surely, 284942000 is an apocalyptic number.

84942000 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 84942000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180092640).

84942000 is an abundant number, since it is smaller than the sum of its proper divisors (275243280).

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

84942000 is a wasteful number, since it uses less digits than its factorization.

84942000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 34 counting only the distinct ones).

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

The square root of 84942000 is about 9216.3984288875. The cubic root of 84942000 is about 439.5829381387.

Adding to 84942000 its reverse (24948), we get a palindrome (84966948).

It can be divided in two parts, 849 and 42000, that added together give a square (42849 = 2072).

The spelling of 84942000 in words is "eighty-four million, nine hundred forty-two thousand".