88308000 has 288 divisors, whose sum is σ = 343429632. Its totient is φ = 21312000.

The previous prime is 88307993. The next prime is 88308007. The reversal of 88308000 is 80388.

It is an interprime number because it is at equal distance from previous prime (88307993) and next prime (88308007).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88308007) 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 47 ways as a sum of consecutive naturals, for example, 395889 + ... + 396111.

It is an arithmetic number, because the mean of its divisors is an integer number (1192464).

Almost surely, 2^88308000 is an apocalyptic number.

88308000 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 88308000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171714816).

88308000 is an abundant number, since it is smaller than the sum of its proper divisors (255121632).

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

88308000 is a wasteful number, since it uses less digits than its factorization.

88308000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 88308000 is about 9397.2336354908. The cubic root of 88308000 is about 445.3143425593.

Adding to 88308000 its reverse (80388), we get a palindrome (88388388).

The spelling of 88308000 in words is "eighty-eight million, three hundred eight thousand".