88082784 has 72 divisors (see below), whose sum is σ = 263685240. Its totient is φ = 27813888.

The previous prime is 88082783. The next prime is 88082821. The reversal of 88082784 is 48728088.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88082783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2577 + ... + 13520.

It is an arithmetic number, because the mean of its divisors is an integer number (3662295).

Almost surely, 2^88082784 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 88082784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131842620).

88082784 is an abundant number, since it is smaller than the sum of its proper divisors (175602456).

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

88082784 is a wasteful number, since it uses less digits than its factorization.

88082784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16132 (or 16121 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The square root of 88082784 is about 9385.2428844436. The cubic root of 88082784 is about 444.9354516484.

The spelling of 88082784 in words is "eighty-eight million, eighty-two thousand, seven hundred eighty-four".