84801600 has 336 divisors, whose sum is σ = 335117440. Its totient is φ = 20736000.

The previous prime is 84801599. The next prime is 84801623. The reversal of 84801600 is 610848.

It is a super-2 number, since 2×84801600² = 14382622725120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 561525 + ... + 561675.

Almost surely, 2^84801600 is an apocalyptic number.

84801600 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 84801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167558720).

84801600 is an abundant number, since it is smaller than the sum of its proper divisors (250315840).

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

84801600 is a wasteful number, since it uses less digits than its factorization.

84801600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 84801600 is about 9208.7784206158. The cubic root of 84801600 is about 439.3406101193.

The spelling of 84801600 in words is "eighty-four million, eight hundred one thousand, six hundred".