84625200 has 180 divisors, whose sum is σ = 320520408. Its totient is φ = 20505600.

The previous prime is 84625193. The next prime is 84625213. The reversal of 84625200 is 252648.

84625200 is a `hidden beast` number, since 84 + 62 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×84625200² = 14322848950080000, which contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 38532 + ... + 40668.

Almost surely, 2^84625200 is an apocalyptic number.

84625200 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 84625200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160260204).

84625200 is an abundant number, since it is smaller than the sum of its proper divisors (235895208).

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

84625200 is a wasteful number, since it uses less digits than its factorization.

84625200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2172 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 84625200 is about 9199.1956170091. The cubic root of 84625200 is about 439.0357672752.

Adding to 84625200 its reverse (252648), we get a palindrome (84877848).

The spelling of 84625200 in words is "eighty-four million, six hundred twenty-five thousand, two hundred".