88002816 has 108 divisors (see below), whose sum is σ = 257715696. Its totient is φ = 26639360.

The previous prime is 88002799. The next prime is 88002823. The reversal of 88002816 is 61820088.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92455 + ... + 93401.

Almost surely, 2^88002816 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 88002816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128857848).

88002816 is an abundant number, since it is smaller than the sum of its proper divisors (169712880).

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

88002816 is a wasteful number, since it uses less digits than its factorization.

88002816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 88002816 is about 9380.9816117504. The cubic root of 88002816 is about 444.8007625541.

The spelling of 88002816 in words is "eighty-eight million, two thousand, eight hundred sixteen".