89406096 has 80 divisors (see below), whose sum is σ = 261858240. Its totient is φ = 26058240.

The previous prime is 89406091. The next prime is 89406103. The reversal of 89406096 is 69060498.

It is a super-2 number, since 2×89406096² = 15986900003922432, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (89406091) 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 15 ways as a sum of consecutive naturals, for example, 8086 + ... + 15626.

It is an arithmetic number, because the mean of its divisors is an integer number (3273228).

Almost surely, 2^89406096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89406096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130929120).

89406096 is an abundant number, since it is smaller than the sum of its proper divisors (172452144).

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

89406096 is a wasteful number, since it uses less digits than its factorization.

89406096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7584 (or 7578 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 89406096 is about 9455.4796811161. The cubic root of 89406096 is about 447.1525486672.

The spelling of 89406096 in words is "eighty-nine million, four hundred six thousand, ninety-six".