88123824 has 120 divisors (see below), whose sum is σ = 268236800. Its totient is φ = 26904960.

The previous prime is 88123823. The next prime is 88123853. The reversal of 88123824 is 42832188.

It is a happy number.

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 not an unprimeable number, because it can be changed into a prime (88123823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84297 + ... + 85335.

Almost surely, 2^88123824 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 88123824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134118400).

88123824 is an abundant number, since it is smaller than the sum of its proper divisors (180112976).

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

88123824 is a wasteful number, since it uses less digits than its factorization.

88123824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1094 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 88123824 is about 9387.4290410101. The cubic root of 88123824 is about 445.0045431510.

The spelling of 88123824 in words is "eighty-eight million, one hundred twenty-three thousand, eight hundred twenty-four".