88267200 has 336 divisors, whose sum is σ = 344692224. Its totient is φ = 19353600.

The previous prime is 88267181. The next prime is 88267273. The reversal of 88267200 is 276288.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 1243165 + ... + 1243235.

Almost surely, 2^88267200 is an apocalyptic number.

88267200 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 88267200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172346112).

88267200 is an abundant number, since it is smaller than the sum of its proper divisors (256425024).

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

88267200 is a wasteful number, since it uses less digits than its factorization.

88267200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 88267200 is about 9395.0625330543. The cubic root of 88267200 is about 445.2457507216.

The spelling of 88267200 in words is "eighty-eight million, two hundred sixty-seven thousand, two hundred".