88834824 has 96 divisors (see below), whose sum is σ = 261817920. Its totient is φ = 27047808.

The previous prime is 88834807. The next prime is 88834847. The reversal of 88834824 is 42843888.

It is a happy number.

It is a super-2 number, since 2×88834824² = 15783251910221952, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 88834824.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99709 + ... + 100595.

It is an arithmetic number, because the mean of its divisors is an integer number (2727270).

Almost surely, 2^88834824 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 88834824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130908960).

88834824 is an abundant number, since it is smaller than the sum of its proper divisors (172983096).

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

88834824 is a wasteful number, since it uses less digits than its factorization.

88834824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019 (or 1012 counting only the distinct ones).

The product of its digits is 393216, while the sum is 45.

The square root of 88834824 is about 9425.2227559883. Note that the first 3 decimals coincide. The cubic root of 88834824 is about 446.1981329921.

The spelling of 88834824 in words is "eighty-eight million, eight hundred thirty-four thousand, eight hundred twenty-four".