88284816 has 135 divisors (see below), whose sum is σ = 265716841. Its totient is φ = 28413504.

The previous prime is 88284799. The next prime is 88284851. The reversal of 88284816 is 61848288.

It is a happy number.

The square root of 88284816 is 9396.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 46294416 + 41990400 = 6804^2 + 6480^2 .

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

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 3044290 + ... + 3044318.

Almost surely, 2^88284816 is an apocalyptic number.

88284816 is the 9396-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88284816

88284816 is an abundant number, since it is smaller than the sum of its proper divisors (177432025).

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

88284816 is an frugal number, since it uses more digits than its factorization.

88284816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 34 counting only the distinct ones).

The product of its digits is 196608, while the sum is 45.

The cubic root of 88284816 is about 445.2753688486.

The spelling of 88284816 in words is "eighty-eight million, two hundred eighty-four thousand, eight hundred sixteen".