88031600 has 60 divisors (see below), whose sum is σ = 213687960. Its totient is φ = 34848000.

The previous prime is 88031597. The next prime is 88031609. The reversal of 88031600 is 613088.

It is a self number, because there is not a number n which added to its sum of digits gives 88031600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88031609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39311 + ... + 41489.

It is an arithmetic number, because the mean of its divisors is an integer number (3561466).

Almost surely, 2^88031600 is an apocalyptic number.

88031600 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 88031600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106843980).

88031600 is an abundant number, since it is smaller than the sum of its proper divisors (125656360).

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

88031600 is a wasteful number, since it uses less digits than its factorization.

88031600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2298 (or 2287 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 88031600 is about 9382.5156541303. The cubic root of 88031600 is about 444.8492524779.

Adding to 88031600 its reverse (613088), we get a palindrome (88644688).

The spelling of 88031600 in words is "eighty-eight million, thirty-one thousand, six hundred".