89753652 has 72 divisors (see below), whose sum is σ = 232432200. Its totient is φ = 29196288.

The previous prime is 89753647. The next prime is 89753681. The reversal of 89753652 is 25635798.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 33593616 + 56160036 = 5796^2 + 7494^2 .

It is a junction number, because it is equal to n+sod(n) for n = 89753598 and 89753607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 349108 + ... + 349364.

It is an arithmetic number, because the mean of its divisors is an integer number (3228225).

Almost surely, 2^89753652 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 89753652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116216100).

89753652 is an abundant number, since it is smaller than the sum of its proper divisors (142678548).

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

89753652 is a wasteful number, since it uses less digits than its factorization.

89753652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 460 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 89753652 is about 9473.8404039756. The cubic root of 89753652 is about 447.7312176531.

The spelling of 89753652 in words is "eighty-nine million, seven hundred fifty-three thousand, six hundred fifty-two".