84334608 has 120 divisors (see below), whose sum is σ = 248248000. Its totient is φ = 27713664.

The previous prime is 84334571. The next prime is 84334609. The reversal of 84334608 is 80643348.

84334608 is a `hidden beast` number, since 8 + 43 + 3 + 4 + 608 = 666.

It is a super-2 number, since 2×84334608² = 14224652213027328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (84334609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 423693 + ... + 423891.

Almost surely, 2^84334608 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 84334608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124124000).

84334608 is an abundant number, since it is smaller than the sum of its proper divisors (163913392).

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

84334608 is a wasteful number, since it uses less digits than its factorization.

84334608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 84334608 is about 9183.3876102449. The cubic root of 84334608 is about 438.5326602720.

It can be divided in two parts, 8433 and 4608, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 84334608 in words is "eighty-four million, three hundred thirty-four thousand, six hundred eight".