89258500 has 48 divisors (see below), whose sum is σ = 206427312. Its totient is φ = 33600000.

The previous prime is 89258489. The next prime is 89258501. The reversal of 89258500 is 585298.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 25482304 + 63776196 = 5048^2 + 7986^2 .

It is a super-3 number, since 3×89258500³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 89258500.

It is not an unprimeable number, because it can be changed into a prime (89258501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3250 + ... + 13750.

It is an arithmetic number, because the mean of its divisors is an integer number (4300569).

Almost surely, 2^89258500 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 89258500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103213656).

89258500 is an abundant number, since it is smaller than the sum of its proper divisors (117168812).

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

89258500 is a wasteful number, since it uses less digits than its factorization.

89258500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10537 (or 10525 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 37.

The square root of 89258500 is about 9447.6716708404. The cubic root of 89258500 is about 446.9063526342.

The spelling of 89258500 in words is "eighty-nine million, two hundred fifty-eight thousand, five hundred".