89145504 has 108 divisors (see below), whose sum is σ = 294943194. Its totient is φ = 25466112.

The previous prime is 89145499. The next prime is 89145509. The reversal of 89145504 is 40554198.

89145504 is a `hidden beast` number, since 8 + 9 + 145 + 504 = 666.

It is an interprime number because it is at equal distance from previous prime (89145499) and next prime (89145509).

It can be written as a sum of positive squares in only one way, i.e., 74857104 + 14288400 = 8652^2 + 3780^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (89145509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10954 + ... + 17270.

Almost surely, 2^89145504 is an apocalyptic number.

89145504 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 89145504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147471597).

89145504 is an abundant number, since it is smaller than the sum of its proper divisors (205797690).

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

89145504 is a wasteful number, since it uses less digits than its factorization.

89145504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6347 (or 6329 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 89145504 is about 9441.6896792894. The cubic root of 89145504 is about 446.7176872983.

The spelling of 89145504 in words is "eighty-nine million, one hundred forty-five thousand, five hundred four".