81379584 has 324 divisors, whose sum is σ = 291760560. Its totient is φ = 21565440.

The previous prime is 81379583. The next prime is 81379609. The reversal of 81379584 is 48597318.

81379584 = T₃₀₉ + T₃₁₀ + ... + T₈₀₂.

Its product of digits (241920) is a multiple of the sum of its prime divisors (48).

It is not an unprimeable number, because it can be changed into a prime (81379583) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4283127 + ... + 4283145.

Almost surely, 2^81379584 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 81379584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145880280).

81379584 is an abundant number, since it is smaller than the sum of its proper divisors (210380976).

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

81379584 is a wasteful number, since it uses less digits than its factorization.

81379584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 48 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 81379584 is about 9021.0633519558. The cubic root of 81379584 is about 433.3496882716.

The spelling of 81379584 in words is "eighty-one million, three hundred seventy-nine thousand, five hundred eighty-four".