89290880 has 128 divisors (see below), whose sum is σ = 257040000. Its totient is φ = 28975104.

The previous prime is 89290847. The next prime is 89290889. The reversal of 89290880 is 8809298.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×89290880² = 15945722502348800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89290889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84596 + ... + 85644.

It is an arithmetic number, because the mean of its divisors is an integer number (2008125).

Almost surely, 2^89290880 is an apocalyptic number.

89290880 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 89290880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128520000).

89290880 is an abundant number, since it is smaller than the sum of its proper divisors (167749120).

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

89290880 is a wasteful number, since it uses less digits than its factorization.

89290880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 44.

The square root of 89290880 is about 9449.3851651840. The cubic root of 89290880 is about 446.9603869959.

The spelling of 89290880 in words is "eighty-nine million, two hundred ninety thousand, eight hundred eighty".