89505360 has 360 divisors, whose sum is σ = 363860640. Its totient is φ = 19643904.

The previous prime is 89505313. The next prime is 89505413. The reversal of 89505360 is 6350598.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×89505360² = 16022418937459200, 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 71 ways as a sum of consecutive naturals, for example, 1517011 + ... + 1517069.

It is an arithmetic number, because the mean of its divisors is an integer number (1010724).

Almost surely, 2^89505360 is an apocalyptic number.

89505360 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 89505360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181930320).

89505360 is an abundant number, since it is smaller than the sum of its proper divisors (274355280).

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

89505360 is a wasteful number, since it uses less digits than its factorization.

89505360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 89505360 is about 9460.7272447735. The cubic root of 89505360 is about 447.3179726370.

The spelling of 89505360 in words is "eighty-nine million, five hundred five thousand, three hundred sixty".