84919296 has 176 divisors, whose sum is σ = 282977280. Its totient is φ = 21995520.

The previous prime is 84919253. The next prime is 84919319. The reversal of 84919296 is 69291948.

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-2 number, since 2×84919296² = 14422573666271232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 236365 + ... + 236723.

Almost surely, 2^84919296 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 84919296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141488640).

84919296 is an abundant number, since it is smaller than the sum of its proper divisors (198057984).

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

84919296 is a wasteful number, since it uses less digits than its factorization.

84919296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 382 counting only the distinct ones).

The product of its digits is 279936, while the sum is 48.

The square root of 84919296 is about 9215.1666289872. The cubic root of 84919296 is about 439.5437695281.

The spelling of 84919296 in words is "eighty-four million, nine hundred nineteen thousand, two hundred ninety-six".