84301600 has 72 divisors (see below), whose sum is σ = 207361728. Its totient is φ = 33465600.

The previous prime is 84301583. The next prime is 84301603. The reversal of 84301600 is 610348.

It is a super-3 number, since 3×84301600³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (84301603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133285 + ... + 133915.

It is an arithmetic number, because the mean of its divisors is an integer number (2880024).

Almost surely, 2^84301600 is an apocalyptic number.

84301600 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 84301600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103680864).

84301600 is an abundant number, since it is smaller than the sum of its proper divisors (123060128).

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

84301600 is a wasteful number, since it uses less digits than its factorization.

84301600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 84301600 is about 9181.5902761994. The cubic root of 84301600 is about 438.4754398920.

Adding to 84301600 its reverse (610348), we get a palindrome (84911948).

The spelling of 84301600 in words is "eighty-four million, three hundred one thousand, six hundred".