89406720 has 288 divisors, whose sum is σ = 343392000. Its totient is φ = 21897216.

The previous prime is 89406719. The next prime is 89406769. The reversal of 89406720 is 2760498.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×89406720³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 449181 + ... + 449379.

Almost surely, 2^89406720 is an apocalyptic number.

89406720 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 89406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171696000).

89406720 is an abundant number, since it is smaller than the sum of its proper divisors (253985280).

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

89406720 is a wasteful number, since it uses less digits than its factorization.

89406720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 89406720 is about 9455.5126777981. The cubic root of 89406720 is about 447.1535889487.

The spelling of 89406720 in words is "eighty-nine million, four hundred six thousand, seven hundred twenty".