88335120 has 120 divisors (see below), whose sum is σ = 283696128. Its totient is φ = 22736640.

The previous prime is 88335109. The next prime is 88335127. The reversal of 88335120 is 2153388.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (88335127) 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 23 ways as a sum of consecutive naturals, for example, 230449 + ... + 230831.

Almost surely, 2^88335120 is an apocalyptic number.

88335120 is a gapful number since it is divisible by the number (80) 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 88335120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141848064).

88335120 is an abundant number, since it is smaller than the sum of its proper divisors (195361008).

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

88335120 is a wasteful number, since it uses less digits than its factorization.

88335120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 88335120 is about 9398.6765025721. The cubic root of 88335120 is about 445.3599242691.

The spelling of 88335120 in words is "eighty-eight million, three hundred thirty-five thousand, one hundred twenty".