84198976 has 63 divisors (see below), whose sum is σ = 177438177. Its totient is φ = 39640320.

The previous prime is 84198973. The next prime is 84198979. The reversal of 84198976 is 67989148.

It is a happy number.

The square root of 84198976 is 9176.

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

It is an interprime number because it is at equal distance from previous prime (84198973) and next prime (84198979).

It can be written as a sum of positive squares in only one way, i.e., 75342400 + 8856576 = 8680^2 + 2976^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (84198973) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2275630 + ... + 2275666.

It is an arithmetic number, because the mean of its divisors is an integer number (2816479).

Almost surely, 2^84198976 is an apocalyptic number.

84198976 is the 9176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84198976

84198976 is an abundant number, since it is smaller than the sum of its proper divisors (93239201).

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

84198976 is an equidigital number, since it uses as much as digits as its factorization.

84198976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 70 counting only the distinct ones).

The product of its digits is 870912, while the sum is 52.

The cubic root of 84198976 is about 438.2974425772.

The spelling of 84198976 in words is "eighty-four million, one hundred ninety-eight thousand, nine hundred seventy-six".