84079296 has 210 divisors, whose sum is σ = 290805108. Its totient is φ = 23950080.

The previous prime is 84079277. The next prime is 84079301. The reversal of 84079296 is 69297048.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 253851 + ... + 254181.

Almost surely, 2^84079296 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 84079296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145402554).

84079296 is an abundant number, since it is smaller than the sum of its proper divisors (206725812).

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

84079296 is a wasteful number, since it uses less digits than its factorization.

84079296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 84079296 is about 9169.4763209248. The cubic root of 84079296 is about 438.0896795166.

The spelling of 84079296 in words is "eighty-four million, seventy-nine thousand, two hundred ninety-six".