89554960 has 80 divisors (see below), whose sum is σ = 229003200. Its totient is φ = 32299520.

The previous prime is 89554957. The next prime is 89555021. The reversal of 89554960 is 6945598.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 89554960.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130779 + ... + 131461.

It is an arithmetic number, because the mean of its divisors is an integer number (2862540).

Almost surely, 2^89554960 is an apocalyptic number.

89554960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

89554960 is the 5464-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89554960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114501600).

89554960 is an abundant number, since it is smaller than the sum of its proper divisors (139448240).

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

89554960 is a wasteful number, since it uses less digits than its factorization.

89554960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 46.

The square root of 89554960 is about 9463.3482446753. The cubic root of 89554960 is about 447.4005854711.

It can be divided in two parts, 895 and 54960, that added together give a palindrome (55855).

The spelling of 89554960 in words is "eighty-nine million, five hundred fifty-four thousand, nine hundred sixty".