89675040 has 192 divisors, whose sum is σ = 347832576. Its totient is φ = 18911232.

The previous prime is 89675039. The next prime is 89675071. The reversal of 89675040 is 4057698.

It is a super-2 number, since 2×89675040² = 16083225598003200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 89675040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42654 + ... + 44706.

It is an arithmetic number, because the mean of its divisors is an integer number (1811628).

Almost surely, 2^89675040 is an apocalyptic number.

89675040 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 89675040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173916288).

89675040 is an abundant number, since it is smaller than the sum of its proper divisors (258157536).

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

89675040 is a wasteful number, since it uses less digits than its factorization.

89675040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2091 (or 2083 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 89675040 is about 9469.6905968463. The cubic root of 89675040 is about 447.6004622404.

The spelling of 89675040 in words is "eighty-nine million, six hundred seventy-five thousand, forty".