88141824 has 104 divisors (see below), whose sum is σ = 261456720. Its totient is φ = 29343744.

The previous prime is 88141813. The next prime is 88141829. The reversal of 88141824 is 42814188.

It is a happy number.

It is a super-2 number, since 2×88141824² = 15537962276093952, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88141829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110194 + ... + 110990.

Almost surely, 2^88141824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88141824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130728360).

88141824 is an abundant number, since it is smaller than the sum of its proper divisors (173314896).

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

88141824 is an equidigital number, since it uses as much as digits as its factorization.

88141824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 802 counting only the distinct ones).

The product of its digits is 16384, while the sum is 36.

The square root of 88141824 is about 9388.3877210094. The cubic root of 88141824 is about 445.0348396743.

The spelling of 88141824 in words is "eighty-eight million, one hundred forty-one thousand, eight hundred twenty-four".