89956104 has 64 divisors (see below), whose sum is σ = 257894400. Its totient is φ = 25614144.

The previous prime is 89956103. The next prime is 89956117. The reversal of 89956104 is 40165998.

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

It is not an unprimeable number, because it can be changed into a prime (89956103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60927 + ... + 62385.

It is an arithmetic number, because the mean of its divisors is an integer number (4029600).

Almost surely, 2^89956104 is an apocalyptic number.

89956104 is a gapful number since it is divisible by the number (84) 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 89956104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128947200).

89956104 is an abundant number, since it is smaller than the sum of its proper divisors (167938296).

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

89956104 is a wasteful number, since it uses less digits than its factorization.

89956104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1842 (or 1838 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 89956104 is about 9484.5191760047. The cubic root of 89956104 is about 448.0676051250.

The spelling of 89956104 in words is "eighty-nine million, nine hundred fifty-six thousand, one hundred four".