88873200 has 300 divisors, whose sum is σ = 345122008. Its totient is φ = 21772800.

The previous prime is 88873159. The next prime is 88873207. The reversal of 88873200 is 237888.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88873207) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 421095 + ... + 421305.

Almost surely, 2^88873200 is an apocalyptic number.

88873200 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 88873200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172561004).

88873200 is an abundant number, since it is smaller than the sum of its proper divisors (256248808).

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

88873200 is a wasteful number, since it uses less digits than its factorization.

88873200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 88873200 is about 9427.2583501249. The cubic root of 88873200 is about 446.2623751953.

It can be divided in two parts, 888 and 73200, that added together give a cube (74088 = 42³).

The spelling of 88873200 in words is "eighty-eight million, eight hundred seventy-three thousand, two hundred".