89454384 has 60 divisors (see below), whose sum is σ = 254615400. Its totient is φ = 29309952.

The previous prime is 89454373. The next prime is 89454389. The reversal of 89454384 is 48345498.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89454389) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3232 + ... + 13760.

It is an arithmetic number, because the mean of its divisors is an integer number (4243590).

Almost surely, 2^89454384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89454384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127307700).

89454384 is an abundant number, since it is smaller than the sum of its proper divisors (165161016).

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

89454384 is a wasteful number, since it uses less digits than its factorization.

89454384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10602 (or 10593 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 89454384 is about 9458.0327764287. The cubic root of 89454384 is about 447.2330361549.

It can be divided in two parts, 894 and 54384, that added together give a triangular number (55278 = T₃₃₂).

The spelling of 89454384 in words is "eighty-nine million, four hundred fifty-four thousand, three hundred eighty-four".