89302080 has 224 divisors, whose sum is σ = 329769216. Its totient is φ = 20054016.

The previous prime is 89302069. The next prime is 89302091. The reversal of 89302080 is 8020398.

It is an interprime number because it is at equal distance from previous prime (89302069) and next prime (89302091).

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×89302080² = 15949722984652800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 651772 + ... + 651908.

It is an arithmetic number, because the mean of its divisors is an integer number (1472184).

Almost surely, 2^89302080 is an apocalyptic number.

89302080 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 89302080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164884608).

89302080 is an abundant number, since it is smaller than the sum of its proper divisors (240467136).

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

89302080 is a wasteful number, since it uses less digits than its factorization.

89302080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 89302080 is about 9449.9777777516. The cubic root of 89302080 is about 446.9790740370.

The spelling of 89302080 in words is "eighty-nine million, three hundred two thousand, eighty".