88763200 has 84 divisors (see below), whose sum is σ = 226062540. Its totient is φ = 34263040.

The previous prime is 88763197. The next prime is 88763201. The reversal of 88763200 is 236788.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 553536 + 88209664 = 744^2 + 9392^2 .

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88763201) 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 11 ways as a sum of consecutive naturals, for example, 45444 + ... + 47356.

Almost surely, 2^88763200 is an apocalyptic number.

88763200 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 88763200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113031270).

88763200 is an abundant number, since it is smaller than the sum of its proper divisors (137299340).

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

88763200 is a wasteful number, since it uses less digits than its factorization.

88763200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1964 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 88763200 is about 9421.4223979185. The cubic root of 88763200 is about 446.0781834557.

Adding to 88763200 its reverse (236788), we get a palindrome (88999988).

The spelling of 88763200 in words is "eighty-eight million, seven hundred sixty-three thousand, two hundred".