84200000 has 84 divisors (see below), whose sum is σ = 209338164. Its totient is φ = 33600000.

The previous prime is 84199991. The next prime is 84200023. The reversal of 84200000 is 248.

It can be written as a sum of positive squares in 6 ways, for example, as 83759104 + 440896 = 9152^2 + 664^2 .

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199790 + ... + 200210.

It is an arithmetic number, because the mean of its divisors is an integer number (2492121).

Almost surely, 2^84200000 is an apocalyptic number.

84200000 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 84200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104669082).

84200000 is an abundant number, since it is smaller than the sum of its proper divisors (125138164).

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

84200000 is an frugal number, since it uses more digits than its factorization.

84200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 84200000 is about 9176.0557975636. The cubic root of 84200000 is about 438.2992193794.

Adding to 84200000 its reverse (248), we get a palindrome (84200248).

The spelling of 84200000 in words is "eighty-four million, two hundred thousand".