88419768 has 64 divisors (see below), whose sum is σ = 235200000. Its totient is φ = 27620352.

The previous prime is 88419757. The next prime is 88419769. The reversal of 88419768 is 86791488.

It is a self number, because there is not a number n which added to its sum of digits gives 88419768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88419769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43233 + ... + 45231.

It is an arithmetic number, because the mean of its divisors is an integer number (3675000).

Almost surely, 2^88419768 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 88419768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117600000).

88419768 is an abundant number, since it is smaller than the sum of its proper divisors (146780232).

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

88419768 is a wasteful number, since it uses less digits than its factorization.

88419768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2124 (or 2120 counting only the distinct ones).

The product of its digits is 774144, while the sum is 51.

The square root of 88419768 is about 9403.1786115122. The cubic root of 88419768 is about 445.5021357003.

The spelling of 88419768 in words is "eighty-eight million, four hundred nineteen thousand, seven hundred sixty-eight".