84916296 has 64 divisors (see below), whose sum is σ = 237758400. Its totient is φ = 28080000.

The previous prime is 84916291. The next prime is 84916297. The reversal of 84916296 is 69261948.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (84916291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26796 + ... + 29796.

It is an arithmetic number, because the mean of its divisors is an integer number (3714975).

Almost surely, 2^84916296 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 84916296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118879200).

84916296 is an abundant number, since it is smaller than the sum of its proper divisors (152842104).

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

84916296 is a wasteful number, since it uses less digits than its factorization.

84916296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3147 (or 3137 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 84916296 is about 9215.0038524137. The cubic root of 84916296 is about 439.5385934496.

The spelling of 84916296 in words is "eighty-four million, nine hundred sixteen thousand, two hundred ninety-six".