89835552 has 72 divisors (see below), whose sum is σ = 259030044. Its totient is φ = 29528064.

The previous prime is 89835547. The next prime is 89835563. The reversal of 89835552 is 25553898.

89835552 is a `hidden beast` number, since 8 + 98 + 3 + 5 + 552 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 89189136 + 646416 = 9444^2 + 804^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 89835498 and 89835507.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18888 + ... + 23160.

Almost surely, 2^89835552 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 89835552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129515022).

89835552 is an abundant number, since it is smaller than the sum of its proper divisors (169194492).

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

89835552 is a wasteful number, since it uses less digits than its factorization.

89835552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4362 (or 4351 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The square root of 89835552 is about 9478.1618471094. The cubic root of 89835552 is about 447.8673608185.

It can be divided in two parts, 8983 and 5552, that added together give a triangular number (14535 = T₁₇₀).

The spelling of 89835552 in words is "eighty-nine million, eight hundred thirty-five thousand, five hundred fifty-two".