84277248 has 192 divisors, whose sum is σ = 259459200. Its totient is φ = 24084480.

The previous prime is 84277247. The next prime is 84277273.

84277248 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84277243) 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, 1959915 + ... + 1959957.

It is an arithmetic number, because the mean of its divisors is an integer number (1351350).

Almost surely, 2^84277248 is an apocalyptic number.

84277248 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84277248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129729600).

84277248 is an abundant number, since it is smaller than the sum of its proper divisors (175181952).

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

84277248 is a wasteful number, since it uses less digits than its factorization.

84277248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 88 counting only the distinct ones).

The product of its digits is 200704, while the sum is 42.

The square root of 84277248 is about 9180.2640484901. The cubic root of 84277248 is about 438.4332153781.

The spelling of 84277248 in words is "eighty-four million, two hundred seventy-seven thousand, two hundred forty-eight".