89234880 has 224 divisors, whose sum is σ = 331622400. Its totient is φ = 20321280.

The previous prime is 89234879. The next prime is 89234891. The reversal of 89234880 is 8843298.

It is a happy number.

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

It is a super-2 number, since 2×89234880² = 15925727617228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a zygodrome in base 14.

It is a congruent number.

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, 329145 + ... + 329415.

Almost surely, 2^89234880 is an apocalyptic number.

89234880 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 89234880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165811200).

89234880 is an abundant number, since it is smaller than the sum of its proper divisors (242387520).

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

89234880 is a wasteful number, since it uses less digits than its factorization.

89234880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 89234880 is about 9446.4215446909. The cubic root of 89234880 is about 446.8669283430.

The spelling of 89234880 in words is "eighty-nine million, two hundred thirty-four thousand, eight hundred eighty".