84630000 has 400 divisors, whose sum is σ = 347088896. Its totient is φ = 17280000.

The previous prime is 84629959. The next prime is 84630017. The reversal of 84630000 is 3648.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2729985 + ... + 2730015.

Almost surely, 2^84630000 is an apocalyptic number.

84630000 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 84630000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173544448).

84630000 is an abundant number, since it is smaller than the sum of its proper divisors (262458896).

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

84630000 is a wasteful number, since it uses less digits than its factorization.

84630000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 84630000 is about 9199.4565056855. The cubic root of 84630000 is about 439.0440679226.

Adding to 84630000 its reverse (3648), we get a palindrome (84633648).

The spelling of 84630000 in words is "eighty-four million, six hundred thirty thousand".