89255040 has 256 divisors, whose sum is σ = 337824000. Its totient is φ = 19611648.

The previous prime is 89255029. The next prime is 89255041. The reversal of 89255040 is 4055298.

It is a junction number, because it is equal to n+sod(n) for n = 89254992 and 89255010.

It is not an unprimeable number, because it can be changed into a prime (89255041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 389646 + ... + 389874.

It is an arithmetic number, because the mean of its divisors is an integer number (1319625).

Almost surely, 2^89255040 is an apocalyptic number.

89255040 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 89255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168912000).

89255040 is an abundant number, since it is smaller than the sum of its proper divisors (248568960).

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

89255040 is a wasteful number, since it uses less digits than its factorization.

89255040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 89255040 is about 9447.4885551664. The cubic root of 89255040 is about 446.9005779612.

The spelling of 89255040 in words is "eighty-nine million, two hundred fifty-five thousand, forty".