84741600 has 288 divisors, whose sum is σ = 305980416. Its totient is φ = 20275200.

The previous prime is 84741599. The next prime is 84741607. The reversal of 84741600 is 614748.

It is a super-2 number, since 2×84741600² = 14362277541120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84741607) by changing a digit.

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, 1264767 + ... + 1264833.

It is an arithmetic number, because the mean of its divisors is an integer number (1062432).

Almost surely, 2^84741600 is an apocalyptic number.

84741600 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 84741600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152990208).

84741600 is an abundant number, since it is smaller than the sum of its proper divisors (221238816).

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

84741600 is a wasteful number, since it uses less digits than its factorization.

84741600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 84741600 is about 9205.5200830806. The cubic root of 84741600 is about 439.2369695590.

The spelling of 84741600 in words is "eighty-four million, seven hundred forty-one thousand, six hundred".