84200688 has 320 divisors, whose sum is σ = 299980800. Its totient is φ = 22256640.

The previous prime is 84200687. The next prime is 84200693. The reversal of 84200688 is 88600248.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84200687) by changing a digit.

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, 1791481 + ... + 1791527.

It is an arithmetic number, because the mean of its divisors is an integer number (937440).

Almost surely, 2^84200688 is an apocalyptic number.

84200688 is a gapful number since it is divisible by the number (88) 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 84200688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149990400).

84200688 is an abundant number, since it is smaller than the sum of its proper divisors (215780112).

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

84200688 is a wasteful number, since it uses less digits than its factorization.

84200688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 84200688 is about 9176.0932863610. The cubic root of 84200688 is about 438.3004131602.

The spelling of 84200688 in words is "eighty-four million, two hundred thousand, six hundred eighty-eight".