83644080 has 320 divisors, whose sum is σ = 314979840. Its totient is φ = 18137088.

The previous prime is 83644049. The next prime is 83644081. The reversal of 83644080 is 8044638.

83644080 = T₄₁₆ + T₄₁₇ + ... + T₈₃₀.

It is not an unprimeable number, because it can be changed into a prime (83644081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1007719 + ... + 1007801.

It is an arithmetic number, because the mean of its divisors is an integer number (984312).

Almost surely, 2^83644080 is an apocalyptic number.

83644080 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 83644080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157489920).

83644080 is an abundant number, since it is smaller than the sum of its proper divisors (231335760).

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

83644080 is a wasteful number, since it uses less digits than its factorization.

83644080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 83644080 is about 9145.7137501673. The cubic root of 83644080 is about 437.3324833499.

The spelling of 83644080 in words is "eighty-three million, six hundred forty-four thousand, eighty".