84011200 has 168 divisors, whose sum is σ = 254865632. Its totient is φ = 26542080.

The previous prime is 84011177. The next prime is 84011219. The reversal of 84011200 is 211048.

It is a happy number.

It is a super-3 number, since 3×84011200³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145312 + ... + 145888.

Almost surely, 2^84011200 is an apocalyptic number.

84011200 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 84011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127432816).

84011200 is an abundant number, since it is smaller than the sum of its proper divisors (170854432).

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

84011200 is a wasteful number, since it uses less digits than its factorization.

84011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 84011200 is about 9165.7623796387. The cubic root of 84011200 is about 437.9713776533.

Adding to 84011200 its reverse (211048), we get a palindrome (84222248).

The spelling of 84011200 in words is "eighty-four million, eleven thousand, two hundred".