84621600 has 432 divisors, whose sum is σ = 360726912. Its totient is φ = 18247680.

The previous prime is 84621583. The next prime is 84621637. The reversal of 84621600 is 612648.

It is a Cunningham number, because it is equal to 9199²-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1159164 + ... + 1159236.

It is an arithmetic number, because the mean of its divisors is an integer number (835016).

Almost surely, 2^84621600 is an apocalyptic number.

84621600 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 84621600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180363456).

84621600 is an abundant number, since it is smaller than the sum of its proper divisors (276105312).

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

84621600 is a wasteful number, since it uses less digits than its factorization.

84621600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 84621600 is about 9198.9999456463. Note that the first 4 decimals coincide. The cubic root of 84621600 is about 439.0295415836.

The spelling of 84621600 in words is "eighty-four million, six hundred twenty-one thousand, six hundred".