88027200 has 126 divisors (see below), whose sum is σ = 312920634. Its totient is φ = 23470080.

The previous prime is 88027189. The next prime is 88027211. The reversal of 88027200 is 272088.

It is an interprime number because it is at equal distance from previous prime (88027189) and next prime (88027211).

It can be written as a sum of positive squares in 3 ways, for example, as 6594624 + 81432576 = 2568^2 + 9024^2 .

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 11344 + ... + 17456.

Almost surely, 2^88027200 is an apocalyptic number.

88027200 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 88027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156460317).

88027200 is an abundant number, since it is smaller than the sum of its proper divisors (224893434).

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

88027200 is a wasteful number, since it uses less digits than its factorization.

88027200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6141 (or 6123 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 88027200 is about 9382.2811725081. The cubic root of 88027200 is about 444.8418408616.

Adding to 88027200 its reverse (272088), we get a palindrome (88299288).

It can be divided in two parts, 8 and 8027200, that added together give a palindrome (8027208).

The spelling of 88027200 in words is "eighty-eight million, twenty-seven thousand, two hundred".