88125444 has 72 divisors (see below), whose sum is σ = 244913760. Its totient is φ = 26496000.

The previous prime is 88125341. The next prime is 88125449. The reversal of 88125444 is 44452188.

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

It is a junction number, because it is equal to n+sod(n) for n = 88125399 and 88125408.

It is not an unprimeable number, because it can be changed into a prime (88125449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54244 + ... + 55844.

It is an arithmetic number, because the mean of its divisors is an integer number (3401580).

Almost surely, 2^88125444 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 88125444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122456880).

88125444 is an abundant number, since it is smaller than the sum of its proper divisors (156788316).

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

88125444 is a wasteful number, since it uses less digits than its factorization.

88125444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1761 (or 1756 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The square root of 88125444 is about 9387.5153262192. The cubic root of 88125444 is about 445.0072700071.

The spelling of 88125444 in words is "eighty-eight million, one hundred twenty-five thousand, four hundred forty-four".