89760720 has 240 divisors, whose sum is σ = 335728512. Its totient is φ = 19430400.

The previous prime is 89760719. The next prime is 89760721. The reversal of 89760720 is 2706798.

It is an interprime number because it is at equal distance from previous prime (89760719) and next prime (89760721).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×89760720³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89760721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 888670 + ... + 888770.

Almost surely, 2^89760720 is an apocalyptic number.

89760720 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 89760720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167864256).

89760720 is an abundant number, since it is smaller than the sum of its proper divisors (245967792).

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

89760720 is a wasteful number, since it uses less digits than its factorization.

89760720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 89760720 is about 9474.2134238152. The cubic root of 89760720 is about 447.7429701226.

The spelling of 89760720 in words is "eighty-nine million, seven hundred sixty thousand, seven hundred twenty".