89369280 has 672 divisors, whose sum is σ = 426037248. Its totient is φ = 16588800.

The previous prime is 89369263. The next prime is 89369281. The reversal of 89369280 is 8296398.

89369280 is a `hidden beast` number, since 8 + 9 + 369 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (89369281) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2882865 + ... + 2882895.

It is an arithmetic number, because the mean of its divisors is an integer number (633984).

Almost surely, 2^89369280 is an apocalyptic number.

89369280 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 89369280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213018624).

89369280 is an abundant number, since it is smaller than the sum of its proper divisors (336667968).

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

89369280 is a wasteful number, since it uses less digits than its factorization.

89369280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 89369280 is about 9453.5326730276. The cubic root of 89369280 is about 447.0911634853.

The spelling of 89369280 in words is "eighty-nine million, three hundred sixty-nine thousand, two hundred eighty".