89353680 has 120 divisors (see below), whose sum is σ = 300079008. Its totient is φ = 21984768.

The previous prime is 89353673. The next prime is 89353681. The reversal of 89353680 is 8635398.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89353681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39459 + ... + 41661.

Almost surely, 2^89353680 is an apocalyptic number.

89353680 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 89353680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150039504).

89353680 is an abundant number, since it is smaller than the sum of its proper divisors (210725328).

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

89353680 is a wasteful number, since it uses less digits than its factorization.

89353680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2245 (or 2226 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 89353680 is about 9452.7075486339. The cubic root of 89353680 is about 447.0651477298.

The spelling of 89353680 in words is "eighty-nine million, three hundred fifty-three thousand, six hundred eighty".