89458080 has 192 divisors, whose sum is σ = 314616960. Its totient is φ = 21233664.

The previous prime is 89458079. The next prime is 89458093. The reversal of 89458080 is 8085498.

It is a zygodrome in base 4.

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, 154752 + ... + 155328.

It is an arithmetic number, because the mean of its divisors is an integer number (1638630).

Almost surely, 2^89458080 is an apocalyptic number.

89458080 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 89458080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157308480).

89458080 is an abundant number, since it is smaller than the sum of its proper divisors (225158880).

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

89458080 is a wasteful number, since it uses less digits than its factorization.

89458080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The square root of 89458080 is about 9458.2281638793. The cubic root of 89458080 is about 447.2391955345.

The spelling of 89458080 in words is "eighty-nine million, four hundred fifty-eight thousand, eighty".