88015200 has 432 divisors, whose sum is σ = 365976576. Its totient is φ = 17971200.

The previous prime is 88015199. The next prime is 88015223. The reversal of 88015200 is 251088.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 2839185 + ... + 2839215.

It is an arithmetic number, because the mean of its divisors is an integer number (847168).

Almost surely, 2^88015200 is an apocalyptic number.

88015200 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 88015200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182988288).

88015200 is an abundant number, since it is smaller than the sum of its proper divisors (277961376).

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

88015200 is a wasteful number, since it uses less digits than its factorization.

88015200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 88015200 is about 9381.6416473877. The cubic root of 88015200 is about 444.8216261072.

Adding to 88015200 its reverse (251088), we get a palindrome (88266288).

The spelling of 88015200 in words is "eighty-eight million, fifteen thousand, two hundred".