84073600 has 192 divisors, whose sum is σ = 233735040. Its totient is φ = 29675520.

The previous prime is 84073597. The next prime is 84073609. The reversal of 84073600 is 637048.

It is not an unprimeable number, because it can be changed into a prime (84073609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1788777 + ... + 1788823.

It is an arithmetic number, because the mean of its divisors is an integer number (1217370).

Almost surely, 2^84073600 is an apocalyptic number.

84073600 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 84073600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116867520).

84073600 is an abundant number, since it is smaller than the sum of its proper divisors (149661440).

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

84073600 is a wasteful number, since it uses less digits than its factorization.

84073600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 84073600 is about 9169.1657199551. The cubic root of 84073600 is about 438.0797864145.

The spelling of 84073600 in words is "eighty-four million, seventy-three thousand, six hundred".