84034080 has 216 divisors, whose sum is σ = 313503372. Its totient is φ = 20376576.

The previous prime is 84034057. The next prime is 84034091. The reversal of 84034080 is 8043048.

It can be written as a sum of positive squares in 2 ways, for example, as 78216336 + 5817744 = 8844^2 + 2412^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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, 1254207 + ... + 1254273.

Almost surely, 2^84034080 is an apocalyptic number.

84034080 is a gapful number since it is divisible by the number (80) 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 84034080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156751686).

84034080 is an abundant number, since it is smaller than the sum of its proper divisors (229469292).

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

84034080 is a wasteful number, since it uses less digits than its factorization.

84034080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 84034080 is about 9167.0104177971. The cubic root of 84034080 is about 438.0111337634.

The spelling of 84034080 in words is "eighty-four million, thirty-four thousand, eighty".