88016544 has 336 divisors, whose sum is σ = 330523200. Its totient is φ = 22861440.

The previous prime is 88016527. The next prime is 88016549. The reversal of 88016544 is 44561088.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 88016499 and 88016508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88016549) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 8001499 + ... + 8001509.

It is an arithmetic number, because the mean of its divisors is an integer number (983700).

Almost surely, 2^88016544 is an apocalyptic number.

88016544 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88016544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165261600).

88016544 is an abundant number, since it is smaller than the sum of its proper divisors (242506656).

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

88016544 is an equidigital number, since it uses as much as digits as its factorization.

88016544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 88016544 is about 9381.7132763691. The cubic root of 88016544 is about 444.8238902511.

It can be divided in two parts, 880 and 16544, that added together give a square (17424 = 132²).

The spelling of 88016544 in words is "eighty-eight million, sixteen thousand, five hundred forty-four".