94582080 has 280 divisors, whose sum is σ = 348523560. Its totient is φ = 24330240.

The previous prime is 94582073. The next prime is 94582087. The reversal of 94582080 is 8028549.

It is an interprime number because it is at equal distance from previous prime (94582073) and next prime (94582087).

It can be written as a sum of positive squares in 4 ways, for example, as 1498176 + 93083904 = 1224^2 + 9648^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94582087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1062676 + ... + 1062764.

It is an arithmetic number, because the mean of its divisors is an integer number (1244727).

Almost surely, 2^94582080 is an apocalyptic number.

94582080 is a gapful number since it is divisible by the number (90) 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 94582080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174261780).

94582080 is an abundant number, since it is smaller than the sum of its proper divisors (253941480).

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

94582080 is a wasteful number, since it uses less digits than its factorization.

94582080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 94582080 is about 9725.3318709440. The cubic root of 94582080 is about 455.6201823400.

The spelling of 94582080 in words is "ninety-four million, five hundred eighty-two thousand, eighty".