88126128 has 120 divisors (see below), whose sum is σ = 261144000. Its totient is φ = 27697152.

The previous prime is 88126127. The next prime is 88126201. The reversal of 88126128 is 82162188.

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 junction number, because it is equal to n+sod(n) for n = 88126092 and 88126101.

It is not an unprimeable number, because it can be changed into a prime (88126127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196048 + ... + 196496.

It is an arithmetic number, because the mean of its divisors is an integer number (2176200).

Almost surely, 2^88126128 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 88126128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130572000).

88126128 is an abundant number, since it is smaller than the sum of its proper divisors (173017872).

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

88126128 is a wasteful number, since it uses less digits than its factorization.

88126128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 530 counting only the distinct ones).

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

The square root of 88126128 is about 9387.5517575138. The cubic root of 88126128 is about 445.0084213362.

The spelling of 88126128 in words is "eighty-eight million, one hundred twenty-six thousand, one hundred twenty-eight".