84066840 has 384 divisors, whose sum is σ = 339655680. Its totient is φ = 17740800.

The previous prime is 84066833. The next prime is 84066841. The reversal of 84066840 is 4866048.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 84066795 and 84066804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84066841) 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, 1184005 + ... + 1184075.

It is an arithmetic number, because the mean of its divisors is an integer number (884520).

Almost surely, 2^84066840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84066840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169827840).

84066840 is an abundant number, since it is smaller than the sum of its proper divisors (255588840).

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

84066840 is a wasteful number, since it uses less digits than its factorization.

84066840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 84066840 is about 9168.7970857687. The cubic root of 84066840 is about 438.0680447234.

The spelling of 84066840 in words is "eighty-four million, sixty-six thousand, eight hundred forty".