84249008 has 40 divisors (see below), whose sum is σ = 175243248. Its totient is φ = 39094272.

The previous prime is 84249001. The next prime is 84249017. The reversal of 84249008 is 80094248.

It is not an unprimeable number, because it can be changed into a prime (84249001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17735 + ... + 21977.

Almost surely, 2^84249008 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 84249008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87621624).

84249008 is an abundant number, since it is smaller than the sum of its proper divisors (90994240).

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

84249008 is a wasteful number, since it uses less digits than its factorization.

84249008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4341 (or 4335 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 84249008 is about 9178.7258375005. The cubic root of 84249008 is about 438.3842391816.

The spelling of 84249008 in words is "eighty-four million, two hundred forty-nine thousand, eight".