88824 has 16 divisors (see below), whose sum is σ = 222120. Its totient is φ = 29600.

The previous prime is 88819. The next prime is 88843. The reversal of 88824 is 42888.

88824 = T₁₄₅ + T₁₄₆ + ... + T₁₅₂.

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

It is a junction number, because it is equal to n+sod(n) for n = 88791 and 88800.

It is a congruent number.

It is an unprimeable number.

88824 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1827 + ... + 1874.

2⁸⁸⁸²⁴ is an apocalyptic number.

It is an amenable number.

88824 is an abundant number, since it is smaller than the sum of its proper divisors (133296).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111060).

88824 is a wasteful number, since it uses less digits than its factorization.

88824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3710 (or 3706 counting only the distinct ones).

The product of its digits is 4096, while the sum is 30.

The square root of 88824 is about 298.0335551578. The cubic root of 88824 is about 44.6180010051.

It can be divided in two parts, 888 and 24, that multiplied together give a palindrome (21312).

The spelling of 88824 in words is "eighty-eight thousand, eight hundred twenty-four".