88033820 has 96 divisors (see below), whose sum is σ = 228759552. Its totient is φ = 27767808.

The previous prime is 88033807. The next prime is 88033849. The reversal of 88033820 is 2833088.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111467 + ... + 112253.

It is an arithmetic number, because the mean of its divisors is an integer number (2382912).

Almost surely, 2^88033820 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 88033820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114379776).

88033820 is an abundant number, since it is smaller than the sum of its proper divisors (140725732).

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

88033820 is a wasteful number, since it uses less digits than its factorization.

88033820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 88033820 is about 9382.6339585428. The cubic root of 88033820 is about 444.8529918815.

The spelling of 88033820 in words is "eighty-eight million, thirty-three thousand, eight hundred twenty".