88122816 has 140 divisors (see below), whose sum is σ = 265541760. Its totient is φ = 28892160.

The previous prime is 88122799. The next prime is 88122833. The reversal of 88122816 is 61822188.

It is an interprime number because it is at equal distance from previous prime (88122799) and next prime (88122833).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 461281 + ... + 461471.

Almost surely, 2^88122816 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 88122816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132770880).

88122816 is an abundant number, since it is smaller than the sum of its proper divisors (177418944).

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

88122816 is a wasteful number, since it uses less digits than its factorization.

88122816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 285 counting only the distinct ones).

The product of its digits is 12288, while the sum is 36.

The square root of 88122816 is about 9387.3753520353. The cubic root of 88122816 is about 445.0028464237.

It can be divided in two parts, 8812 and 2816, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 88122816 in words is "eighty-eight million, one hundred twenty-two thousand, eight hundred sixteen".