88140800 has 132 divisors (see below), whose sum is σ = 239105976. Its totient is φ = 31948800.

The previous prime is 88140769. The next prime is 88140803. The reversal of 88140800 is 804188.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88140803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 281444 + ... + 281756.

Almost surely, 2^88140800 is an apocalyptic number.

88140800 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 88140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119552988).

88140800 is an abundant number, since it is smaller than the sum of its proper divisors (150965176).

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

88140800 is a wasteful number, since it uses less digits than its factorization.

88140800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 29.

The square root of 88140800 is about 9388.3331853956. Note that the first 3 decimals coincide. The cubic root of 88140800 is about 445.0331162494.

Adding to 88140800 its reverse (804188), we get a palindrome (88944988).

It can be divided in two parts, 88 and 140800, that multiplied together give a square (12390400 = 3520²).

The spelling of 88140800 in words is "eighty-eight million, one hundred forty thousand, eight hundred".