88016000 has 64 divisors (see below), whose sum is σ = 218869560. Its totient is φ = 35200000.

The previous prime is 88015973. The next prime is 88016017. The reversal of 88016000 is 61088.

It can be written as a sum of positive squares in 4 ways, for example, as 53816896 + 34199104 = 7336^2 + 5848^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13250 + ... + 18750.

Almost surely, 2^88016000 is an apocalyptic number.

88016000 is a gapful number since it is divisible by the number (80) 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 88016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109434780).

88016000 is an abundant number, since it is smaller than the sum of its proper divisors (130853560).

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

88016000 is an equidigital number, since it uses as much as digits as its factorization.

88016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5530 (or 5508 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 88016000 is about 9381.6842837520. The cubic root of 88016000 is about 444.8229738147.

Adding to 88016000 its reverse (61088), we get a palindrome (88077088).

The spelling of 88016000 in words is "eighty-eight million, sixteen thousand".