89226720 has 288 divisors, whose sum is σ = 342486144. Its totient is φ = 20966400.

The previous prime is 89226673. The next prime is 89226749. The reversal of 89226720 is 2762298.

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

It is a super-2 number, since 2×89226720² = 15922815123916800, which contains 22 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 47 ways as a sum of consecutive naturals, for example, 681055 + ... + 681185.

It is an arithmetic number, because the mean of its divisors is an integer number (1189188).

Almost surely, 2^89226720 is an apocalyptic number.

89226720 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 89226720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171243072).

89226720 is an abundant number, since it is smaller than the sum of its proper divisors (253259424).

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

89226720 is a wasteful number, since it uses less digits than its factorization.

89226720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 195 counting only the distinct ones).

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

The square root of 89226720 is about 9445.9896252325. The cubic root of 89226720 is about 446.8533068186.

The spelling of 89226720 in words is "eighty-nine million, two hundred twenty-six thousand, seven hundred twenty".