89780544 has 126 divisors (see below), whose sum is σ = 299448474. Its totient is φ = 25643520.

The previous prime is 89780539. The next prime is 89780627. The reversal of 89780544 is 44508798.

It can be written as a sum of positive squares in only one way, i.e., 57153600 + 32626944 = 7560^2 + 5712^2 .

It is a tau number, because it is divible by the number of its divisors (126).

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 self number, because there is not a number n which added to its sum of digits gives 89780544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26634 + ... + 29814.

Almost surely, 2^89780544 is an apocalyptic number.

89780544 is a gapful number since it is divisible by the number (84) 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 89780544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149724237).

89780544 is an abundant number, since it is smaller than the sum of its proper divisors (209667930).

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

89780544 is a wasteful number, since it uses less digits than its factorization.

89780544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3213 (or 3193 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 89780544 is about 9475.2595742808. The cubic root of 89780544 is about 447.7759296150.

The spelling of 89780544 in words is "eighty-nine million, seven hundred eighty thousand, five hundred forty-four".