89475840 has 180 divisors, whose sum is σ = 320531904. Its totient is φ = 23832576.

The previous prime is 89475839. The next prime is 89475847. The reversal of 89475840 is 4857498.

It is a tau number, because it is divible by the number of its divisors (180).

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 (89475847) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 103249 + ... + 104111.

Almost surely, 2^89475840 is an apocalyptic number.

89475840 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 89475840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160265952).

89475840 is an abundant number, since it is smaller than the sum of its proper divisors (231056064).

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

89475840 is an equidigital number, since it uses as much as digits as its factorization.

89475840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 89475840 is about 9459.1669823510. The cubic root of 89475840 is about 447.2687901876.

The spelling of 89475840 in words is "eighty-nine million, four hundred seventy-five thousand, eight hundred forty".