89101440 has 192 divisors, whose sum is σ = 318240000. Its totient is φ = 22947840.

The previous prime is 89101399. The next prime is 89101457. The reversal of 89101440 is 4410198.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×89101440² = 15878133220147200, which contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 178311 + ... + 178809.

It is an arithmetic number, because the mean of its divisors is an integer number (1657500).

Almost surely, 2^89101440 is an apocalyptic number.

89101440 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 89101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159120000).

89101440 is an abundant number, since it is smaller than the sum of its proper divisors (229138560).

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

89101440 is a wasteful number, since it uses less digits than its factorization.

89101440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 89101440 is about 9439.3559102303. The cubic root of 89101440 is about 446.6440720236.

The spelling of 89101440 in words is "eighty-nine million, one hundred one thousand, four hundred forty".