89409840 has 80 divisors (see below), whose sum is σ = 298501728. Its totient is φ = 22007808.

The previous prime is 89409833. The next prime is 89409869. The reversal of 89409840 is 4890498.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×89409840³ (a number of 25 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 89409792 and 89409801.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11209 + ... + 17448.

Almost surely, 2^89409840 is an apocalyptic number.

89409840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89409840 is an abundant number, since it is smaller than the sum of its proper divisors (209091888).

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

89409840 is a wasteful number, since it uses less digits than its factorization.

89409840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28686 (or 28680 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 89409840 is about 9455.6776594806. The cubic root of 89409840 is about 447.1587902840.

The spelling of 89409840 in words is "eighty-nine million, four hundred nine thousand, eight hundred forty".