88009824 has 192 divisors, whose sum is σ = 284981760. Its totient is φ = 23224320.

The previous prime is 88009819. The next prime is 88009829. The reversal of 88009824 is 42890088.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (88009819) and next prime (88009829).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88009829) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 778792 + ... + 778904.

It is an arithmetic number, because the mean of its divisors is an integer number (1484280).

Almost surely, 2^88009824 is an apocalyptic number.

88009824 is a gapful number since it is divisible by the number (84) 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 88009824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142490880).

88009824 is an abundant number, since it is smaller than the sum of its proper divisors (196971936).

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

88009824 is a wasteful number, since it uses less digits than its factorization.

88009824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 88009824 is about 9381.3551259933. The cubic root of 88009824 is about 444.8125693013.

The spelling of 88009824 in words is "eighty-eight million, nine thousand, eight hundred twenty-four".