84088900 has 81 divisors (see below), whose sum is σ = 213897117. Its totient is φ = 28610400.

The previous prime is 84088883. The next prime is 84088903. The reversal of 84088900 is 988048.

The square root of 84088900 is 9170.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 30272004 + 53816896 = 5502^2 + 7336^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 84088900.

It is not an unprimeable number, because it can be changed into a prime (84088903) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 641835 + ... + 641965.

Almost surely, 2^84088900 is an apocalyptic number.

84088900 is the 9170-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84088900

84088900 is an abundant number, since it is smaller than the sum of its proper divisors (129808217).

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

84088900 is a wasteful number, since it uses less digits than its factorization.

84088900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The cubic root of 84088900 is about 438.1063592197.

The spelling of 84088900 in words is "eighty-four million, eighty-eight thousand, nine hundred".