89504730 has 256 divisors, whose sum is σ = 298598400. Its totient is φ = 18627840.

The previous prime is 89504729. The next prime is 89504731. The reversal of 89504730 is 3740598.

89504730 is a `hidden beast` number, since 89 + 504 + 73 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (89504729) and next prime (89504731).

It is a super-2 number, since 2×89504730² = 16022193384745800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (89504731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1260595 + ... + 1260665.

It is an arithmetic number, because the mean of its divisors is an integer number (1166400).

Almost surely, 2^89504730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89504730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149299200).

89504730 is an abundant number, since it is smaller than the sum of its proper divisors (209093670).

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

89504730 is a wasteful number, since it uses less digits than its factorization.

89504730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 89504730 is about 9460.6939491773. The cubic root of 89504730 is about 447.3169231245.

The spelling of 89504730 in words is "eighty-nine million, five hundred four thousand, seven hundred thirty".