89520000 has 160 divisors (see below), whose sum is σ = 297935880. Its totient is φ = 23808000.

The previous prime is 89519999. The next prime is 89520083. The reversal of 89520000 is 2598.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 239814 + ... + 240186.

Almost surely, 2^89520000 is an apocalyptic number.

89520000 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 89520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148967940).

89520000 is an abundant number, since it is smaller than the sum of its proper divisors (208415880).

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

89520000 is an equidigital number, since it uses as much as digits as its factorization.

89520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 89520000 is about 9461.5009380119. The cubic root of 89520000 is about 447.3423599218.

Adding to 89520000 its reverse (2598), we get a palindrome (89522598).

The spelling of 89520000 in words is "eighty-nine million, five hundred twenty thousand".