84834288 has 180 divisors, whose sum is σ = 301563288. Its totient is φ = 22014720.

The previous prime is 84834257. The next prime is 84834293. The reversal of 84834288 is 88243848.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 77070 + ... + 78162.

Almost surely, 2^84834288 is an apocalyptic number.

84834288 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 84834288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150781644).

84834288 is an abundant number, since it is smaller than the sum of its proper divisors (216729000).

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

84834288 is a wasteful number, since it uses less digits than its factorization.

84834288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1116 counting only the distinct ones).

The product of its digits is 393216, while the sum is 45.

The square root of 84834288 is about 9210.5530778559. The cubic root of 84834288 is about 439.3970529263.

The spelling of 84834288 in words is "eighty-four million, eight hundred thirty-four thousand, two hundred eighty-eight".