88240000 has 80 divisors (see below), whose sum is σ = 219867120. Its totient is φ = 35264000.

The previous prime is 88239973. The next prime is 88240001. The reversal of 88240000 is 4288.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88240001) 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 9 ways as a sum of consecutive naturals, for example, 79449 + ... + 80551.

It is an arithmetic number, because the mean of its divisors is an integer number (2748339).

Almost surely, 2^88240000 is an apocalyptic number.

88240000 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 88240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109933560).

88240000 is an abundant number, since it is smaller than the sum of its proper divisors (131627120).

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

88240000 is an equidigital number, since it uses as much as digits as its factorization.

88240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 88240000 is about 9393.6148526539. The cubic root of 88240000 is about 445.2000110863.

Adding to 88240000 its reverse (4288), we get a palindrome (88244288).

The spelling of 88240000 in words is "eighty-eight million, two hundred forty thousand".