88535120 has 20 divisors (see below), whose sum is σ = 205844340. Its totient is φ = 35414016.

The previous prime is 88535087. The next prime is 88535123. The reversal of 88535120 is 2153588.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10601536 + 77933584 = 3256^2 + 8828^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88535123) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 553265 + ... + 553424.

It is an arithmetic number, because the mean of its divisors is an integer number (10292217).

Almost surely, 2^88535120 is an apocalyptic number.

88535120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

88535120 is an abundant number, since it is smaller than the sum of its proper divisors (117309220).

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

88535120 is a wasteful number, since it uses less digits than its factorization.

88535120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106702 (or 1106696 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The square root of 88535120 is about 9409.3102829060. The cubic root of 88535120 is about 445.6957848211.

The spelling of 88535120 in words is "eighty-eight million, five hundred thirty-five thousand, one hundred twenty".