84012300 has 216 divisors, whose sum is σ = 294512400. Its totient is φ = 19975680.

The previous prime is 84012293. The next prime is 84012337. The reversal of 84012300 is 321048.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 71 ways as a sum of consecutive naturals, for example, 4421691 + ... + 4421709.

Almost surely, 2^84012300 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 84012300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147256200).

84012300 is an abundant number, since it is smaller than the sum of its proper divisors (210500100).

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

84012300 is a wasteful number, since it uses less digits than its factorization.

84012300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 84012300 is about 9165.8223853618. The cubic root of 84012300 is about 437.9732891699.

Adding to 84012300 its reverse (321048), we get a palindrome (84333348).

It can be divided in two parts, 8401 and 2300, that added together give a palindrome (10701).

The spelling of 84012300 in words is "eighty-four million, twelve thousand, three hundred".