84375900 has 216 divisors, whose sum is σ = 308730240. Its totient is φ = 18875520.

The previous prime is 84375883. The next prime is 84375901. The reversal of 84375900 is 957348.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84375901) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 371587 + ... + 371813.

Almost surely, 2^84375900 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 84375900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154365120).

84375900 is an abundant number, since it is smaller than the sum of its proper divisors (224354340).

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

84375900 is a wasteful number, since it uses less digits than its factorization.

84375900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 84375900 is about 9185.6355251011. The cubic root of 84375900 is about 438.6042202025.

The spelling of 84375900 in words is "eighty-four million, three hundred seventy-five thousand, nine hundred".