84734100 has 216 divisors, whose sum is σ = 301418208. Its totient is φ = 20476800.

The previous prime is 84734099. The next prime is 84734101. The reversal of 84734100 is 143748.

It is an interprime number because it is at equal distance from previous prime (84734099) and next prime (84734101).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84734101) 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 71 ways as a sum of consecutive naturals, for example, 267142 + ... + 267458.

Almost surely, 2^84734100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84734100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150709104).

84734100 is an abundant number, since it is smaller than the sum of its proper divisors (216684108).

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

84734100 is a wasteful number, since it uses less digits than its factorization.

84734100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 84734100 is about 9205.1127097934. The cubic root of 84734100 is about 439.2240110496.

Adding to 84734100 its reverse (143748), we get a palindrome (84877848).

The spelling of 84734100 in words is "eighty-four million, seven hundred thirty-four thousand, one hundred".