88673200 has 120 divisors (see below), whose sum is σ = 265697280. Its totient is φ = 27628800.

The previous prime is 88673197. The next prime is 88673219. The reversal of 88673200 is 237688.

It is a happy 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 23 ways as a sum of consecutive naturals, for example, 29361 + ... + 32239.

It is an arithmetic number, because the mean of its divisors is an integer number (2214144).

Almost surely, 2^88673200 is an apocalyptic number.

88673200 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 88673200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132848640).

88673200 is an abundant number, since it is smaller than the sum of its proper divisors (177024080).

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

88673200 is a wasteful number, since it uses less digits than its factorization.

88673200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2915 (or 2904 counting only the distinct ones).

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

The square root of 88673200 is about 9416.6448377328. The cubic root of 88673200 is about 445.9273679038.

The spelling of 88673200 in words is "eighty-eight million, six hundred seventy-three thousand, two hundred".