88291200 has 192 divisors, whose sum is σ = 308484720. Its totient is φ = 22118400.

The previous prime is 88291153. The next prime is 88291201. The reversal of 88291200 is 219288.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88291201) 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 23 ways as a sum of consecutive naturals, for example, 162930 + ... + 163470.

Almost surely, 2^88291200 is an apocalyptic number.

88291200 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 88291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154242360).

88291200 is an abundant number, since it is smaller than the sum of its proper divisors (220193520).

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

88291200 is a wasteful number, since it uses less digits than its factorization.

88291200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 88291200 is about 9396.3397128882. The cubic root of 88291200 is about 445.2861014206.

The spelling of 88291200 in words is "eighty-eight million, two hundred ninety-one thousand, two hundred".