88003600 has 30 divisors (see below), whose sum is σ = 211429610. Its totient is φ = 35201280.

The previous prime is 88003583. The next prime is 88003607. The reversal of 88003600 is 630088.

It can be written as a sum of positive squares in 3 ways, for example, as 992016 + 87011584 = 996^2 + 9328^2 .

It is a super-2 number, since 2×88003600² = 15489267225920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (88003607) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 109605 + ... + 110404.

Almost surely, 2^88003600 is an apocalyptic number.

88003600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

88003600 is an abundant number, since it is smaller than the sum of its proper divisors (123426010).

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

88003600 is a wasteful number, since it uses less digits than its factorization.

88003600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220027 (or 220016 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 88003600 is about 9381.0233983292. The cubic root of 88003600 is about 444.8020834314.

Adding to 88003600 its reverse (630088), we get a palindrome (88633688).

The spelling of 88003600 in words is "eighty-eight million, three thousand, six hundred".